8652
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 23296
- Proper Divisor Sum (Aliquot Sum)
- 14644
- 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
- 2448
- Möbius Function
- 0
- Radical
- 4326
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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
- Expansion of sin(log(1+x))*cosh(x).at n=8A009456
- Aliquot sequence starting at 660.at n=23A014362
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite FER = Ferrierite Na2Mg2[Al6Si30O72].18H2O starting with a T4 atom.at n=12A019132
- Ordered sequence of distinct terms of the form floor(Pi^i * floor(Pi^j)), i, j >= 0.at n=23A022767
- 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 62.at n=20A031560
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 62.at n=2A031740
- Number of partitions in parts not of the form 17k, 17k+1 or 17k-1. Also number of partitions with no part of size 1 and differences between parts at distance 7 are greater than 1.at n=42A035962
- a(n) = n! * Sum_{k=1..n-2} 1/k!.at n=7A038157
- 12-gonal (or dodecagonal) numbers: a(n) = n*(5*n-4).at n=42A051624
- Numbers k for which the sums of prime factors (ignoring multiplicity) of sigma(k) and phi(k) are equal but the sets of prime factors of sigma and phi are different.at n=33A081378
- Multiply by 1, add 1, multiply by 2, add 2, etc.at n=13A082459
- Sums of (one or more distinct) k-perfect numbers.at n=41A083865
- a(n) = sigma_3(n) - sigma_2(n).at n=19A092349
- Expansion of (phi(q) * phi(q^2))^3 in powers of q where phi() is a Ramanujan theta function.at n=43A136028
- Expansion of Product_{n >= 1} (1+q^(2*n-1))/((1-q^(4*n))*(1+q^(4*n-2))).at n=56A144558
- a(n) = 216*n + 12.at n=39A154519
- Indices of 4's in A090822.at n=38A157107
- Transform of A056594 by the T_{0,0} transformation (see link).at n=12A159350
- Sequence generated from Lim:_{n..inf.} M^n, M = an infinite lower triangular matrix with (1,3,3,3,...) in every column, shifted down twice.at n=33A171370
- Sums of distinct perfect numbers.at n=14A185351