12331
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 2069
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10440
- Möbius Function
- -1
- Radical
- 12331
- 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
- 187
- 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
- Indices of prime Mersenne numbers (A001348).at n=29A016027
- Pseudoprimes to base 58.at n=41A020186
- Pseudoprimes to base 60.at n=27A020188
- Quasi-Carmichael numbers to base 7: squarefree composites n such that (n,2*3*5) = 1 and prime p|n ==> p-7|n-7.at n=3A029556
- [ exp(17/19)*n! ].at n=6A030861
- Numerators of continued fraction convergents to sqrt(811).at n=6A042564
- a(n) is the smallest integer such that the sum of any three ordered terms a(k), k <= n, is unique.at n=20A051912
- First differences of A066425.at n=12A068054
- E.g.f. satisfies exp(x*sum(n>=0, floor(a(n)/n!)*x^n)) = sum(n>=0, a(n)*x^n/n!).at n=6A085023
- Numbers k (with no zero digits) with property that k raised to the product of its digits plus the sum of its digits is prime.at n=12A098797
- List of molecules in Hintze-Adami artificial chemistry (see comments for definition).at n=13A101145
- Sequence representing valid nontrivial 1-dimensional Hashi (a.k.a. Bridges or Hashiwokakero) puzzle orientations.at n=29A143964
- Numbers n such that the digits of sigma(n) are exactly the same (albeit in different order) as the digits of phi(n), in base 10.at n=19A175795
- Record values in A180076.at n=35A180080
- Third row or column of table A205497.at n=5A205493
- Convolution related to array A205497 and to generating functions for the rows of the array form of A050446.at n=3A205495
- Triangle read by rows: Zig-zag Eulerian number triangle T(n, k).at n=41A205497
- Triangle read by rows: Zig-zag Eulerian number triangle T(n, k).at n=43A205497
- a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 1, 2] as of [2, 2, 1].at n=9A211294
- Least number k such that the polynomial x^n - x^(n-1) - ... - 1 (mod k) has more than n distinct zeros.at n=10A211672