13351
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14640
- Proper Divisor Sum (Aliquot Sum)
- 1289
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12168
- Möbius Function
- 0
- Radical
- 1027
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 68
- 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
- Base-7 Armstrong or narcissistic numbers, written in base 7.at n=17A010349
- Positive integers k such that k | (12^k + 1).at n=5A015961
- Number of disconnected 4-valent (or quartic) graphs with n nodes.at n=18A033483
- Coefficient of X^2 in expansion of (1 + n*X + n*X^2)^n.at n=12A092365
- Positive numbers y such that y^2 is of the form x^2+(x+79)^2 with integer x.at n=10A159758
- Record values in A180076.at n=37A180080
- Total number of even parts in the last section of the set of partitions of n.at n=35A206434
- Numbers k such that 8^k + 9 is prime.at n=13A217382
- Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part of p.at n=37A241413
- a(n) = 27*(n - 6)^2 + 4*(n - 6)^3 = ((n - 6)^2)*(4*n + 3).at n=19A245032
- The growth series for the affine Coxeter (or Weyl) group [3,3,5] (or H_4).at n=32A266783
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 366", based on the 5-celled von Neumann neighborhood.at n=33A268275
- a(n) = n^3 + 2*n^2 + 5*n + 11.at n=23A271779
- a(n) = 21*n^2 - 33*n + 13.at n=25A289134
- E.g.f. satisfies y'' + y' + x^3*y = 0 with y(0)=0, y'(0)=1.at n=11A318293
- Triangular array read by rows. T(n,k) is the number of simple unlabeled graphs with n vertices whose components belong to exactly k distinct isomorphism classes.at n=18A331123