15266
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24300
- Proper Divisor Sum (Aliquot Sum)
- 9034
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7168
- Möbius Function
- -1
- Radical
- 15266
- 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
- 32
- 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
- yes
- Odd
- no
Appears in sequences
- Sum of 4th powers of primes = 2 mod 3 dividing n.at n=54A005077
- Coordination sequence for alpha-Mn, Position Mn1.at n=32A009950
- Number of partitions of n into parts not of the form 13k, 13k+4 or 13k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=40A035952
- Number of staircase polygons of perimeter 2n with 3 (staircase polygon) holes on square lattice (not allowing rotations).at n=2A057412
- Number of self-avoiding polygons on the 2-dimensional square lattice with perimeter 2n with at most 4 horizontal edges in each vertical cross-section.at n=7A060379
- Numbers that appear exactly five times in A101402. (Also indices of fives in A101403.).at n=10A129117
- Sums of two or more distinct 4th powers of primes.at n=14A130833
- Sums of two distinct prime 4th powers.at n=8A130873
- a(n) = 81*n^2 - 44*n + 6.at n=14A156676
- Number of nX2 1..6 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order.at n=4A166779
- Numbers k such that 3^k - 8 is prime.at n=18A217135
- Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it, modulo 4.at n=5A239813
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4.at n=26A239819
- Number of 6Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it, modulo 4.at n=1A239824
- Sphenic numbers (A007304) whose neighbors are sphenic.at n=36A248202
- Expansion of f(-x^3, -x^7) * f(x^4, x^6) / psi(-x)^2 in powers of x where psi(), f(,) are Ramanujan theta functions.at n=26A259393
- a(n) is the largest coefficient of q-binomial(2*n, n) / q-binomial(n+1, 1), which are the q-Catalan polynomials.at n=13A274882
- The largest coefficients of the extended q-Catalan polynomials which are defined in A274886.at n=26A275213
- Expansion of Product_{k>=1} 1/(1 + x^k)^(k-1).at n=50A319109
- a(n) = A120963(n)/2.at n=19A341710