13542
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
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 28272
- Proper Divisor Sum (Aliquot Sum)
- 14730
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 1
- Radical
- 13542
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 182
- 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
- Triangle of q-binomial coefficients for q=-11.at n=12A015124
- Gaussian binomial coefficient [ n,2 ] for q = -11.at n=2A015262
- Positive numbers k such that k and 2*k are anagrams in base 6 (written in base 6).at n=12A023064
- Begin with n and place (n-1) on the least significant side, place (n-2) on the most significant side and so on until a 1 is placed.at n=4A089369
- Matrix cube of triangle A105535 and, in this flattened form as read by rows, also equals diagonal 2 of A105535.at n=56A105539
- 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), (0, 0, -1), (0, 1, -1), (1, 0, 1), (1, 1, 1)}.at n=7A150937
- Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit.at n=11A178475
- a(n) is the number whose binary representation is the concatenation of the divisors of n written in base 2.at n=37A182622
- Number of nonnegative integer arrays of length n+2*5-2 with new values introduced in order 0 upwards and every value appearing only in runs of at least 5.at n=24A211697
- Sum of first n Honaker primes.at n=11A276255
- a(n) = sigma_2(n)*sigma_3(n)/sigma(n).at n=10A320917
- Number of solutions to Snake Number Problem for snakes with n-periodic instructions in an infinite square grid (see Comments).at n=9A352388