15532
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29736
- Proper Divisor Sum (Aliquot Sum)
- 14204
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7040
- Möbius Function
- 0
- Radical
- 7766
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- Related to representation as sums of squares.at n=33A002292
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3), t = A023532.at n=14A024314
- List of codewords in binary lexicode with Hamming distance 6 written as decimal numbers.at n=29A075934
- Numbers n such that 9*10^n + 6*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=19A103104
- Number of partitions of n into parts but with two kinds of parts of sizes 1 to 7.at n=19A103926
- Ulam's spiral (SSW spoke).at n=31A143838
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 polyhexes in any orientation on a planar nXnXn triangular grid.at n=5A155222
- Triangle read by rows: a(n,k) is the number of permutations of n elements with prefix transposition distance equal to k.at n=33A164645
- Number of length 4 1..(n+2) arrays with no leading or trailing partial sum equal to a prime and no consecutive values equal.at n=18A254221
- Numbers n such that Bernoulli number B_{n} has denominator 690.at n=24A272186
- Number of n X 2 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 3 1s.at n=9A295346
- Iteration of Abelian sandpile model where the n-th matrix expansions occurs. Begins with infinite sand in 1 X 1 matrix.at n=50A328506
- Number of integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z.at n=42A344654
- a(1) = 2; and for n > 1, a(n) = A341512(n) + A347096(n).at n=47A347097
- Expansion of e.g.f. exp(Sum_{k>=1} phi(k)^3 * x^k/k), where phi is the Euler totient function A000010.at n=6A377508