8272
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 9584
- 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
- 3680
- Möbius Function
- 0
- Radical
- 1034
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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 asymmetric planted projective plane trees with n+1 nodes; bracelets (reversible necklaces) with n black beads and n-1 white beads.at n=10A006079
- Generalized Fibonacci numbers A_{n,4}.at n=34A006209
- Number of distributive lattices; also number of paths with n turns when light is reflected from 5 glass plates.at n=7A006358
- Numbers k for which 10k+1, 10k+3, 10k+7 and 10k+9 are primes.at n=33A007811
- Pisot sequence E(4,27): a(n) = floor(a(n-1)^2/a(n-2)+1/2) for n>1, a(0)=4, a(1)=27.at n=4A010910
- Multiplicity of trivial character in V_n, where V = Sum V_n is the graded module for the Monster simple group.at n=36A014810
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1.at n=4A037517
- 5-wave sequence.at n=32A038201
- First line of 5-wave sequence A038201, also bisection of A006358.at n=4A038261
- Table read by ascending antidiagonals: T(n, m) giving total degree of n-th-order elementary symmetric polynomials in m variables.at n=70A050446
- Table T(n,m) giving total degree of n-th-order elementary symmetric polynomials in m variables, -1 <= n, 1 <= m, transposed and read by upward antidiagonals.at n=73A050447
- a(n) = sum of the first n coefficients of (1+x+x^2)^n.at n=8A055217
- Number of divisors of n equals the average of distinct prime factors of n.at n=31A067547
- Numbers k such that the k-th Catalan number C(2k, k)/(k + 1) is divisible by k/2 but not divisible by k.at n=43A120622
- a(n) = number of conjugacy classes in PSL_3(prime(n)).at n=36A124679
- Triangle read by rows :T(n,k)=Sum_{j, j>=0}A089942(n,j)*binomial(j,k).at n=46A127501
- a(n) = A130179(n)/81.at n=14A130085
- Number of partitions of n where odd parts are distinct or repeated once.at n=38A131945
- Expansion of phi(-q^3) / f(-q)^2 in powers of q where phi(), f() are Ramanujan theta functions.at n=20A137685
- First bisection of A061039.at n=44A144448