6240
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 21168
- Proper Divisor Sum (Aliquot Sum)
- 14928
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1536
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 124
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of 1-factorizations of complete graph K_{2n}.at n=3A000438
- Number of ways in which n identical balls can be distributed among 4 boxes in a row such that each pair of adjacent boxes contains at least 4 balls.at n=25A005337
- Expansion of e.g.f. 1/(1 - log(1+x)).at n=9A006252
- Nonnegative integers n such that n^2*(n+1)*(2*n+1)^2*(7*n+1)/36 is a square.at n=7A007750
- Odd bisection of A007750.at n=3A007752
- [ n(n-1)(n-2)(n-3)/7 ].at n=16A011917
- Define the sequence T(a(0),a(1)) by a(n+2) is the greatest integer such that a(n+2)/a(n+1) < a(n+1)/a(n) for n >= 0. This is T(2,15).at n=4A022026
- Least k>1 such that first n terms of Kolakoski sequence A000002 repeat in reverse order beginning at k-th term.at n=41A022295
- Conjecturally, number of infinitely recurring prime patterns of width 2n-1.at n=21A023189
- n written in fractional base 10/6.at n=40A024661
- Character of extremal vertex operator algebra of rank 20.at n=3A028545
- "BIK" (reversible, indistinct, unlabeled) transform of 3,3,3,3...at n=6A032125
- a(n) = (n^2 - 1)*(n^2 - 3).at n=9A033596
- Base 7 digital convolution sequence.at n=10A033644
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=39A033996
- Expansion of (1-16*x)^(-1/4), related to quartic factorial numbers.at n=4A034385
- Number of n X n symmetric matrices whose first row is 1..n and whose rows and columns are all permutations of 1..n.at n=7A035481
- Number of sublattices of index n in generic 4-dimensional lattice.at n=14A038991
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n-2)/2.at n=22A047190
- First element r of (-1)sigma sociable triple (r,s,t): s=(-1)sigma(r), t=(-1)sigma(s), r=(-1)sigma(t), where if x=Product p(i)^r(i), then (-1)sigma(x)=Product(-1+(Sum p(i)^s(i), s(i)=1 to r(i))).at n=15A049057