15053
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 15054
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15052
- Möbius Function
- -1
- Radical
- 15053
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 40
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1758
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a problem in AI planning: a(n) = 4+a(n-1)+a(n-2)+a(n-3)+a(n-4)-a(n-5)-a(n-6)-a(n-7), n>7.at n=15A007800
- Number of squares on infinite chessboard at <= n knight's moves from a fixed square.at n=33A018836
- Primes that remain prime through 3 iterations of function f(x) = 9x + 2.at n=31A023296
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 18.at n=8A031606
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21.at n=19A051962
- Primes of the form k(k+1)/2+2 (i.e., two more than a triangular number).at n=33A055472
- Primes p such that x^53 = 2 has no solution mod p.at n=30A059258
- Primes of the form x^2 + y^2 + z, where x, y and z are three successive numbers.at n=18A095697
- Smallest prime ending in prime(n) and == 1 (mod prime(n)), or 0 if no such prime exists.at n=15A096069
- Upper prime of a difference of 22 between consecutive primes.at n=28A098976
- a(n) = Sum_{k=1..n} J_4(k)/240.at n=23A115003
- Primes for which the weight as defined in A117078 is 15 and the gap as defined in A001223 is 8.at n=27A119595
- Number of fused bicyclic skeletons with n carbon atoms (see Parks et al. for precise definition).at n=10A121165
- Primes congruent to 13 mod 47.at n=37A142364
- Primes congruent to 10 mod 49.at n=39A142422
- Primes congruent to 8 mod 59.at n=28A142735
- Primes congruent to 47 mod 61.at n=28A142845
- 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, 0, 1), (0, -1, 1), (0, 1, -1), (1, 0, 0), (1, 1, 1)}.at n=7A150877
- a(n) = n^3 - 3*(n+3)^2.at n=26A153260
- Cyclops emirps.at n=16A183057