16852
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 32256
- Proper Divisor Sum (Aliquot Sum)
- 15404
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7640
- Möbius Function
- 0
- Radical
- 8426
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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
- The number of partitions of {1..3n} that are invariant under a permutation consisting of n 3-cycles.at n=6A002874
- Alkane (or paraffin) numbers l(8,n).at n=18A005995
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=32A023542
- Number of planted noncrossing bushes with n nodes; i.e., rooted noncrossing trees with n nodes, root degree 1 and no nonroot nodes of degree 1.at n=9A030980
- Number of ways to place 5 nonattacking queens on a 5 X n board.at n=12A061991
- Indices of primes in sequence defined by A(0) = 57, A(n) = 10*A(n-1) - 43 for n > 0.at n=17A101575
- Expansion of (1 -2*x +4*x^2 -22*x^3 +6*x^4 +268*x^5 -854*x^6 +3596*x^7 -3100*x^8)/((1 -2*x)/(1 -2*x -4*x^2)).at n=8A115109
- Table by antidiagonals, T(n,k) is the number of partitions of {1..(nk)} that are invariant under a permutation consisting of n k-cycles.at n=42A162663
- 6n-1,6n+1, 6n+5, 6n+7 are all primes. That is they are adjacent pairs of twin primes.at n=38A178145
- Numbers n such that d(n-2) = d(n) = d(n+2) = 12 where d(n)=A000005(n).at n=12A190645
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209136; see the Formula section.at n=49A209135
- Expansion of 2*(1+x^2)/((1-x)*(1-x-2*x^3)).at n=16A227036
- Number of partitions p of n such that the multiplicity of min(p)*max(p) is a part.at n=37A240498
- Expansion of phi(q^2) / phi(-q^3) in powers of q where phi() is a Ramanujan theta function.at n=59A262056
- Number of ways to place m nonattacking queens on an m X n board, 1 <= m <= n (triangular array).at n=70A269133
- Convolution of nonzero hexagonal numbers (A000384) with themselves.at n=9A271870
- Numbers n such that Bernoulli number B_{n} has denominator 690.at n=27A272186
- Numbers that are the sum of eight fourth powers in eight or more ways.at n=11A345583
- Numbers that are the sum of eight fourth powers in exactly eight ways.at n=9A345840