12933
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19200
- Proper Divisor Sum (Aliquot Sum)
- 6267
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8604
- Möbius Function
- 0
- Radical
- 1437
- Omega Function (Ω)
- 4
- 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
- 169
- 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
- Number of partitions in parts not of the form 25k, 25k+3 or 25k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=38A036002
- Numbers n such that n and the n-th prime have the same digits.at n=38A074350
- Sum of first n 6-almost primes.at n=27A086052
- Number of A095284-primes in range ]2^n,2^(n+1)].at n=19A095294
- Number of A095312-primes in range ]2^n,2^(n+1)].at n=19A095332
- Denominators of the continued fraction convergents of the decimal concatenation of the lower bound of twin primes.at n=15A128845
- Number of (w,x,y,z) with all terms in {1,...,n} and w^2>=x^2+y^2+z^2.at n=18A212095
- Minimum value unattainable as the sum of 4 attained values of a*b*c with a,b,c 0..n integers.at n=15A225266
- Volume of the Johnson square pyramid (rounded down) with all the edge lengths equal to n.at n=37A229063
- (n+1)^2*a(n+1) = -(9*n^2 + 9*n + 3)*a(n) - 27*n^2*a(n-1), with a(0) = 1 and a(1) = -3.at n=7A291898
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) + 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=15A294415
- Sum over all partitions of n into distinct parts of the bitwise OR of the parts.at n=35A306924
- The number of edges on a concave circular triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts.at n=10A340687
- E.g.f.: Product_{k>=1} 1 / (1 - x^k)^(exp(x)/k).at n=6A346545
- Number of integer partitions of n whose distinct parts are the binary indices of some prime number.at n=42A372887