16951
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
- 8
- Divisor Sum
- 19584
- Proper Divisor Sum (Aliquot Sum)
- 2633
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14520
- Möbius Function
- -1
- Radical
- 16951
- Omega Function (Ω)
- 3
- 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
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 4 (mod 5).at n=47A035565
- Numbers k that divide 7^k + 4^k.at n=10A045592
- Expansion of 1/(1-x*(1-3*x)).at n=21A106852
- a(0)=1, a(1)=1, a(n) = 11*a(n/2) for even n, and a(n) = 10*a((n-1)/2) + a((n+1)/2) for odd n >= 3.at n=22A116525
- Expansion of x/((1-x-x^3)*(1-x)^4).at n=16A144898
- Sum_{j=k(n)..prime(n)} j where k is the n-th nonprime nonnegative integer.at n=43A161669
- Multiples of 23 whose digit reversal + 1 is also a multiple of 23.at n=27A166393
- a(n) = 5*a(n-1) - 9*a(n-2), with a(0)=0, a(1)=1.at n=11A190970
- Molecular topological indices of the gear graphs.at n=22A192827
- a(n) = binomial(n+5,5) + 4*binomial(n+4,5) + 4*binomial(n+3,5) + binomial(n+2,5).at n=10A244864
- As a binary numeral, the bit 2^(m-1) of a(n) is 1 iff m is a proper divisor of n.at n=29A247146
- Number of arrangements of n circles in the affine plane.at n=5A250001
- a(n) = (n+1)^3 - n^2.at n=25A261893
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 485", based on the 5-celled von Neumann neighborhood.at n=28A272504
- a(n) = (n-1)*(n-2)*(n^2+9*n+12)/24.at n=24A323847
- Expansion of Sum_{k>0} x^(3*k)/(1-x^k)^4.at n=45A363607
- Smallest squarefree order m > 0 for which there are n nonisomorphic finite groups of order m, or 0 if no such order exists.at n=12A384146