13534
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
- 8
- Divisor Sum
- 20808
- Proper Divisor Sum (Aliquot Sum)
- 7274
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6600
- Möbius Function
- -1
- Radical
- 13534
- 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
- 151
- 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
- Number of partitions of n into at most 7 parts.at n=47A008636
- Number of distinct partitions of triangular numbers n*(n+1)/2 into 3 parts for n>=1.at n=27A104385
- Number of fusenes with 26 hexagons, C_(2h) symmetry and containing 2n carbon atoms.at n=5A123661
- Row sums of triangle A129503.at n=34A129504
- Numbers whose base-10 and base-7 representations are permutations of the same multiset of digits.at n=28A130604
- Concatenate Fibonacci(n+2), Fibonacci(n) and Fibonacci(n+4).at n=5A134551
- Numbers n such that primorial(n)/2 + 512 is prime.at n=19A139453
- Collatz (or 3x+1) trajectory starting at 703.at n=19A161021
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210804; see the Formula section.at n=47A210803
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 30", based on the 5-celled von Neumann neighborhood.at n=34A269755
- Integers n such that n!/(n-2) + 1 is prime.at n=30A271376
- Number of partitions of n^2 into at most three parts.at n=20A274250
- a(n) = Sum_{k=1..n} 2^(k/gcd(n,k) - 1).at n=14A338647
- Number of partitions of n into 7 distinct and relatively prime parts.at n=47A339672
- Number of compositions of n with strictly decreasing first quotients.at n=46A342494