16944
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 43896
- Proper Divisor Sum (Aliquot Sum)
- 26952
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5632
- Möbius Function
- 0
- Radical
- 2118
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- High-temperature expansion of Ising model susceptibility chi_2 for cubic lattice.at n=4A010040
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/29 ).at n=28A011939
- Erroneous version of A005806.at n=5A048137
- Integer quotients of partial sum of first n composite and n (see A053781).at n=14A073263
- Triangle of generalized Stirling numbers S_{2,2}(n,k) read by rows (n>=1, 2<=k<=2n).at n=19A078739
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=64A090495
- Numbers k such that the k-th prime is of the form 2*j^2 + 1.at n=42A090612
- Number of partitions of n with more even parts than odd parts.at n=43A108949
- a(n) = sum(d divides n, 2^(n/d-1) - 1 ), omitting d=1 and d=n.at n=29A137323
- Triangle of generalized Stirling numbers S_{n,n}(5,k) read by rows (n>=0, n<=k<=5n) the sum of which is A182924.at n=9A216379
- Triangle read by rows: T(n,k) = total number of configurations of k nonattacking bishops on the white squares of an n X n chessboard (0 <= k <= n-1+[n=0]).at n=42A274106
- p-INVERT of (1,1,1,1,1,...), where p(S) = (1 - S)(1 - 2*S)(1 - 3*S)(1 - 4*S).at n=4A291003
- Numbers k such that Bernoulli number B_{k} has denominator 46410.at n=2A295590
- a(n) = 4*3*2*1 + 8*7*6*5 + 12*11*10*9 + 16*15*14*13 + ... + (up to the n-th term).at n=14A319868
- G.f. = Phi^4, where Phi = g.f. for A028930.at n=32A328529
- Number of finite sets of compositions with all equal sums and total sum n.at n=15A358904
- Consecutive states of the linear congruential pseudo-random number generator 254*s mod (2^16+1) when started at s=1.at n=27A384934