5040 (five thousand [and] forty) is the natural number following 5039 and preceding 5041. It is a factorial (7!), a superior highly composite number, abundant...

5040 may refer to: 5040 (number), a number in the 5000s range A.D. 5040, a year in the 6th millennium CE 5040 BC, a year in the 6th millennium BC 5040...

highly composite numbers as he deliberately chose such a number, 5040 (= 7!), as the ideal number of citizens in a city. Furthermore, Vardoulakis and Pugh's...

February 2022. "Number symbolism – 7". "Nāṣir-i Khusraw", An Anthology of Philosophy in Persia, I.B.Tauris, pp. 305–361, 2001, doi:10.5040/9780755610068...

− n ! = 10 − 1 + 10 − 2 + 10 − 6 + 10 − 24 + 10 − 120 + 10 − 720 + 10 − 5040 + 10 − 40320 + … = 0. 1 1 000 1 00000000000000000 1 00000000000000000000...

integers from one to ten, i.e., it is their least common multiple. half of 7! (5040), meaning 7 factorial, or 1 × 2 × 3 × 4 × 5 × 6 × 7 {\displaystyle 1\times...

71) satisfies 5041 = 7 ! + 1 {\displaystyle 5041=7!+1} . In this last pair 5040 is the factorial of 7, which is divisible by all integers less than 13 with...

amicable number with 5564 5021 – super-prime, twin prime with 5023 5023 – twin prime with 5021 5039 – factorial prime, Sophie Germain prime 5040 = 7!, superior...

composite index of 744. 5040 is the nineteenth superabundant number that is also the largest factorial that is a highly composite number, and the largest of...

{\displaystyle \sigma (n)<e^{\gamma }n\log \log n} for values n ≤ 5040 , {\displaystyle n\leq 5040,} where γ {\displaystyle \gamma } is the Euler–Mascheroni constant;...

Lassie?" is a traditional Scottish folk song with a Roud Folk Song Index number of 5040. Modern versions of the lyrics include: Did you ever see a lassie, A...

This is a list of songs by their Roud Folk Song Index number; the full catalogue can also be found on the Vaughan Williams Memorial Library website. Some...

The first 15 colossally abundant numbers, 2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, 1441440, 4324320, 21621600, 367567200, 6983776800 (sequence...

base 10, not all factorials are harshad numbers in base 12. After 7! (= 5040 = 2B00 in base 12, with digit sum 13 in base 12, and 13 does not divide 7...

5040 Rabinowitz, provisional designation 1972 RF, is a stony Phocaea asteroid from the inner regions of the asteroid belt, approximately 6 kilometers in...

0 0 1 4 6 4 0 0 1 5 10 10 5 0 1 6 15 20 15 6 1 7 21 35 35 21 ) 7 ! = 120 5040 = 1 42 {\displaystyle B_{6}^{+}={\frac {\det {\begin{pmatrix}1&2&0&0&0&0...

< k < n σ 1 ( k ) σ 7 ( n − k ) } = 1 11 { 21 σ 5 ( n ) − 10 σ 3 ( n ) + 5040 ∑ 0 < k < n σ 3 ( k ) σ 5 ( n − k ) } . {\displaystyle {\begin{aligned}\sigma...

then there are an infinite number of values of n that violate the inequality, and it is known that the smallest such n > 5040 must be superabundant (Akbary...

 1953 (1953-09-18) Founder Doug Easton Headquarters 5040 Harold Gatty Drive, Salt Lake City, Utah Products Sporting Goods Number of employees 1,000+ Subsidiaries Easton...

first 15 superior highly composite numbers, 2, 6, 12, 60, 120, 360, 2520, 5040, 55440, 720720, 1441440, 4324320, 21621600, 367567200, 6983776800 (sequence...

to the tune of ₹7,136 crores (approximately US$1.5 billion), including ₹5040 crores (approximately US$1 billion) of non-existent cash and bank balances...

Every tree has a symmetry group whose number of symmetries is a Jordan–Pólya number, and every Jordan–Pólya number counts the symmetries of some tree. Primorial...

33 + 53 + ... + 153. 1728 = 123 = 8 × 12 × 18, by Marsilio Ficino (1496). 5040 = 144 × 35 = (3 + 4 + 5)2 × (23 + 33), by Jacob Friedrich Fries (1823). Euler's...

combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations. It is also called...

in Ancient and Medieval Greek Poetry, Bloomsbury Academic, 1997, doi:10.5040/9781472540942.ch-009, ISBN 978-0-7156-2753-2 Grant, p. 27 Grant, p. 37 Grant...

In combinatorics, the Eulerian number A ( n , k ) {\textstyle A(n,k)} is the number of permutations of the numbers 1 to n {\textstyle n} in which exactly...

Dearest: Special Edition (2017) ebook ISBN 978-1-5040-4908-5 Survivor (2017) ebook ISBN 978-1-5040-4907-8 Daughters of the Inquisition: Medieval Madness:...

"High Court Business", Sitting in Judgment : The Working Lives of Judges, Hart Publishing, 2011, doi:10.5040/9781472561008.ch-013, ISBN 978-1-84946-239-6...

Lah numbers have an interesting meaning in combinatorics: they count the number of ways a set of n {\textstyle n} elements can be partitioned into k {\textstyle...

120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural...