13614
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 27240
- Proper Divisor Sum (Aliquot Sum)
- 13626
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- -1
- Radical
- 13614
- 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
- 63
- 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
- Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.at n=30A032549
- Number of partitions of n into parts not of the form 15k, 15k+7 or 15k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=38A035961
- Numbers k that, when expressed in base 7 and then interpreted in base 10, give a multiple of k.at n=31A062944
- Least k such that k*n^n +/- 1 are twin primes.at n=46A076810
- Numbers n such that 2*10^n - 7 is prime.at n=16A102946
- Multiply-Add Recurrence Invariant (MARI) numbers.at n=32A121235
- 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, 0), (-1, 1, 1), (0, 0, -1), (1, -1, 1), (1, 1, 0)}.at n=8A149303
- 6 times centered hexagonal numbers: 18*n*(n+1) + 6.at n=27A164016
- Number of times a multiple of four is encountered when iterating from 2^(n+1)-2 to (2^n)-2 with the map x -> x - (number of runs in binary representation of x).at n=18A255125
- a(n) = n!*LaguerreL(n, -7*n).at n=3A277421
- Number of square twice-partitions of n.at n=29A306318
- Number of integer partitions of n whose multiplicities appear with relatively prime multiplicities.at n=34A319160