13535
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16248
- Proper Divisor Sum (Aliquot Sum)
- 2713
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10824
- Möbius Function
- 1
- Radical
- 13535
- Omega Function (Ω)
- 2
- 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
- 151
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that 251*2^k+1 is prime.at n=13A032502
- Expansion of x^2(3+2x)/(1-x-5x^2-3x^3).at n=9A076149
- Arrange n^2 octagons that each have area 7 so that they leave (n-1)^2 square gaps each with area 2; a(n) is the total area of these polygons.at n=38A086640
- Number of triples (i,j,k) with 1 <= i <= j < k <= n and gcd{i,j,k} = 1.at n=45A100448
- Semiprimes in A056108.at n=18A113527
- a(n) = 11 + floor(Sum_{j-1..n-1} a(j)/4).at n=32A120168
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {0,1,...,n}.at n=18A209995
- Number of (n+1) X (n+1) -3..3 symmetric matrices with every 2 X 2 subblock having sum zero and one or two distinct values.at n=16A211322
- Number of partitions of n into distinct parts with boundary size 9.at n=32A227566
- Number of partitions p of n such that m(p) = m(c(p)), where m = minimal multiplicity of parts, and c = conjugate.at n=34A240731
- Sum of all divisors of all positive integers <= 2^n.at n=7A244824
- Semiprime numbers whose digit string can be partitioned into three parts such that the product of the first two parts equals the third part.at n=24A280636