15337
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 17898
- Proper Divisor Sum (Aliquot Sum)
- 2561
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13104
- Möbius Function
- 0
- Radical
- 2191
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 239
- 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
- no
- Odd
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(524).at n=8A042002
- a(n) = n*(n^2 + 1) if n is even, otherwise (n - 1/2)*(n^2 + 1).at n=25A071289
- 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, 0), (-1, -1, 1), (0, 1, -1), (1, 0, 1)}.at n=10A148339
- a(n) = 12*n^2 + 18*n + 7.at n=35A154105
- Cuban composites: composite numbers equal to the difference of two consecutive cubes.at n=37A159961
- Number of n-digit numbers in a cycle (including fixed points) under the Kaprekar map A151949.at n=49A164732
- a(n) = 3*n^4 + 6*n^3 - 3*n + 1.at n=8A181475
- Number of strictly increasing arrangements of 4 nonzero numbers in -(n+2)..(n+2) with sum zero.at n=40A188123
- Greatest number (in decimal representation) with n nonprime substrings in base-5 representation (substrings with leading zeros are considered to be nonprime).at n=9A217115
- Number of partitions of n such that m(1) = m(3), where m = multiplicity.at n=47A240058
- Indices of primes in the 8th-order Fibonacci number sequence, A123526.at n=33A254412
- Sum over all partitions of n of the LCM of the number of parts and the number of distinct parts.at n=21A339394
- a(n) is the smallest number which can be represented as the sum of n distinct nonzero squares in exactly n ways, or 0 if no such number exists.at n=33A350241
- Composite numbers for which A324644(n)/A324198(n) = 2 and sigma(n) == 2 (mod 4).at n=16A371082