13230
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 41040
- Proper Divisor Sum (Aliquot Sum)
- 27810
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3024
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- yes
- Odd
- no
Appears in sequences
- Triangle of coefficients in expansion of (3+7x)^n.at n=17A013624
- Expansion of Product_{m>=1} (1+m*q^m)^-18.at n=6A022710
- Positive numbers k such that k and 2*k are anagrams in base 4 (written in base 4).at n=30A023059
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=31A026040
- a(n) = A029571(n) / 6.at n=9A029587
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 46.at n=4A031724
- Number of partitions of n into parts not of the form 23k, 23k+4 or 23k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=37A035992
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*3^j.at n=18A038269
- Numbers that divide the sum of cubes of their divisors.at n=40A046763
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= n/3.at n=21A047200
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n-1)/3.at n=21A048012
- Number of nonempty subsets of {1,2,...,n} in which exactly 3/5 of the elements are <= (n+1)/3.at n=21A048045
- Numbers k such that 95*2^k-1 is prime.at n=15A050573
- Number of labeled pure 2-complexes on n nodes (0-simplexes) with 4 2-simplexes and 11 1-simplexes.at n=1A054648
- Matrix inverse of triangle A055134.at n=40A055135
- Triangle arising from solution to a*x = tan x (next row contains non-integral entries).at n=14A059368
- Arithmetic derivative of cubes: a(n) = 3*n^2*A003415(n).at n=20A068721
- Nonprimes which terminate in their sum of prime factors.at n=39A071173
- Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27.at n=19A085788
- a(0) = 0, a(1) = 1, a(n) = smallest multiple of n beginning with the sum of two previous terms.at n=5A087545