13855
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17712
- Proper Divisor Sum (Aliquot Sum)
- 3857
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10368
- Möbius Function
- -1
- Radical
- 13855
- 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
- 89
- 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
- no
- Odd
- yes
Appears in sequences
- Molien series of 4-dimensional representation of u.g.g.r. #8.at n=31A013978
- Denominators of continued fraction convergents to sqrt(844).at n=11A042629
- Numbers k such that A144264(k) = A144264(k+1).at n=13A144359
- Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 0100-0100-1111-0100 pattern in any orientation.at n=11A147042
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {-1,0,1}.at n=36A209993
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 942", based on the 5-celled von Neumann neighborhood.at n=30A273797
- Vinogradov's number J_{3,2}(n).at n=12A281391
- Starts of runs of 3 consecutive numbers with the same total binary weight of their divisors (A093653).at n=12A338453
- G.f. satisfies A(x) = 1 + x*A(x)*(1 + x^5*A(x)^3).at n=18A365733
- Expansion of Product_{k>=1} (1 + x^k) * (1 + x^(k^2)) * (1 + x^(k^3)).at n=41A369575