15550
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 29016
- Proper Divisor Sum (Aliquot Sum)
- 13466
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6200
- Möbius Function
- 0
- Radical
- 3110
- 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
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=26A010013
- Row 3 of A007754.at n=23A058794
- a(n) = 25*a(n-1) - a(n-2), starting with a(0) = 2 and a(1) = 25.at n=3A090733
- Number of palindromes (in base 6) below 6^n.at n=9A117865
- Irregular array where the n-th row are the divisors, not occurring earlier in the sequence, of the sum of the terms in all previous rows. a(1)=4.at n=44A120578
- a(n) = n^3 - 3*n.at n=25A121670
- Integer part of Gauss's Arithmetic-Geometric Mean M(1,n^4).at n=18A127760
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 0), (0, 1, 1), (1, 0, -1)}.at n=10A148342
- Length of longest prefix of A096095(n) that is also a prefix of A096095(n+1).at n=58A197945
- Sum of the first n strobogrammatic numbers.at n=23A230833
- Number of partitions p of n such that the number of distinct parts is not a part and max(p) - min(p) is a part.at n=49A241388
- Row sums of triangle A258197.at n=14A258317
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 785", based on the 5-celled von Neumann neighborhood.at n=25A273559
- Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x*T_{m-1}(x) - T_{m-2}(x), m >= 2, T_0(x) = 2, T_1(x) = x (dilated Chebyshev polynomials of the first kind).at n=25A299071
- a(n) = n*(n + 1)*(n^2 + n + 22)/24.at n=24A318054
- Number of minimal subsets of {1..n} containing n whose sum is greater than or equal to the sum of their complement.at n=19A326175
- Array read by antidiagonals: T(m,n) is the number of induced cycles in the rook graph K_m X K_n.at n=49A360853
- Array read by antidiagonals: T(m,n) is the number of induced cycles in the rook graph K_m X K_n.at n=50A360853
- Expansion of (1 - x^2 + x^3)/((1 - x^2 + x^3)^2 - 4*x^3).at n=19A376787