6156
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 16940
- Proper Divisor Sum (Aliquot Sum)
- 10784
- 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
- 1944
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- 36
- 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
- A subclass of 2n-node trivalent planar graphs without triangles.at n=6A006795
- a(n) = n^2*(n+1).at n=18A011379
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=32A025513
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=41A029464
- a(n) = n*(n+1)*(n^2+5*n+18)/24.at n=17A051744
- Numbers k such that k^6 == 1 (mod 7^4).at n=16A056092
- Positive numbers whose product of digits is 10 times their sum.at n=33A062043
- Number of n-step walks on a cube lattice starting from the origin but not returning to it at any stage.at n=5A063888
- Prime(n^2) +/- n are primes.at n=20A064495
- Arithmetic derivatives of 3-smooth numbers.at n=46A067371
- Smallest multiple of n^2 beginning and ending in n, or 0 if no such multiple exists.at n=5A078211
- Orchard crossing number of complete bipartite graph K_{1,n}.at n=37A080838
- a(n) = A000252(n) / A065558(n).at n=18A082965
- Least positive integer coefficients of power series A(x) such that the coefficients of A(x)^2 + A(x) - 1 consist entirely of squares.at n=66A083352
- a(n) = (5*n+1)*(5*n+6).at n=15A085025
- Product of numbers obtained by adding one to the odd divisors of n and subtracting 1 from the even divisors.at n=19A086535
- Solution to the non-squashing boxes problem (version 2).at n=24A089055
- A generalization of triangle A071951 (Legendre-Stirling).at n=12A089504
- Third column of triangle A089504.at n=2A089513
- a(n) = Sum_{k=0..floor(n/8)} binomial(n-5*k, 3*k).at n=25A113032