7872
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 21336
- Proper Divisor Sum (Aliquot Sum)
- 13464
- 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
- 2560
- Möbius Function
- 0
- Radical
- 246
- Omega Function (Ω)
- 8
- 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
- 52
- 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 strongly asymmetric sequences of length n.at n=8A002842
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=14A008663
- Number of triangles a queen can make (starting anywhere) on an n X n board.at n=16A030117
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 43.at n=30A031541
- Schoenheim bound L_1(n,7,6).at n=14A036834
- A convolution triangle of numbers generalizing Pascal's triangle A007318.at n=30A049325
- Multiples of 24 whose digits also sum to 24.at n=28A066270
- Coefficient of q^3 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(1,3).at n=9A074357
- Omega(n) = Omega(n-1)^3, where Omega(m) (A001222) denotes the number of prime factors of m, counting multiplicity.at n=31A076155
- Smallest number whose cube begins and ends in n, or 0 if no such number exists.at n=48A077752
- Numbers that can be expressed as the difference of the squares of primes in just three distinct ways.at n=27A090782
- Number of partitions of 2n prime to 3,5 with all odd parts occurring with even multiplicities. There is no restriction on the even parts.at n=31A103259
- Numbers with 28 divisors.at n=22A137491
- Triangle T(n, k) = ( k*(n-k+1) )^3 - 2^(n-1), read by rows.at n=32A141388
- Triangle T(n, k) = ( k*(n-k+1) )^3 - 2^(n-1), read by rows.at n=31A141388
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, -1), (1, -1, -1), (1, 1, 0)}.at n=9A148601
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (-1, 1), (0, -1), (0, 1), (1, 0)}.at n=8A151447
- a(n) = ((2+sqrt(5))*(1+sqrt(5))^n + (2-sqrt(5))*(1-sqrt(5))^n)/2.at n=7A162770
- Values k: A165495(k) is odd.at n=41A165496
- Products of the 6th power of a prime and 2 distinct primes (p^6*q*r).at n=20A179672