16512
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 44880
- Proper Divisor Sum (Aliquot Sum)
- 28368
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 258
- Omega Function (Ω)
- 9
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- Numbers that are the sum of 2 positive 7th powers.at n=7A003369
- High temperature series for susceptibility for spherical model on b.c.c. lattice.at n=5A003494
- Numbers that are the sum of at most 2 positive 7th powers.at n=12A004864
- Numbers that are the sum of at most 3 positive 7th powers.at n=23A004865
- Numbers that are the sum of at most 4 positive 7th powers.at n=39A004866
- Number of (n-1)-bead black-white reversible strings; also binary grids; also row sums of Losanitsch's triangle A034851; also number of caterpillar graphs on n+2 vertices.at n=15A005418
- Theta series of direct sum of 2 copies of D_4 lattice in powers of q^2.at n=7A008658
- Expansion of tanh(x)*tan(tan(x)).at n=4A009836
- Number of types of Boolean functions of n variables under a certain group.at n=6A028402
- Sum of every 4th entry of row n in Pascal's triangle, starting at "n choose 0".at n=16A038503
- Number of elements of GF(2^n) with trace 0 and subtrace 1.at n=16A038519
- Numbers whose base-7 representation contains exactly four 6's.at n=12A043420
- Number of 2n-bead balanced binary strings, rotationally equivalent to complement.at n=14A045654
- Number of 2n-bead balanced binary necklaces which are equivalent to their reverse, complement and reversed complement.at n=30A045674
- Expansion of 2*(1-x-x^2)/((1-2*x)*(1-2*x^2)).at n=14A052957
- a(-1) = 1; for n >= 0, a(n) = 2^n + 4^n = 2^n*(1 + 2^n).at n=8A063376
- Number of atoms in cluster of n layers around C_60.at n=16A063498
- Numbers k such that the product of the digits of k is equal to the sum of the prime factors of k, counted with multiplicity.at n=33A065774
- a(n) = Sum_{k=0..n} binomial(4*n,4*k).at n=4A070775
- Number of words of length 2n in the two letters s and t that reduce to the identity 1 by using the relations ssTT=1, ststSS=1 and ststTT=1, where S and T are the inverses of s and t, respectively (i.e., sS=1 and tT=1). The generators s and t and the three stated relations generate the quaternion group Q4.at n=7A071930