12230
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 22032
- Proper Divisor Sum (Aliquot Sum)
- 9802
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4888
- Möbius Function
- -1
- Radical
- 12230
- 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
- 112
- 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
- Generating function = Product_{m>=1} 1/(1 - x^m)^2; a(n) = number of partitions of n into parts of 2 kinds.at n=18A000712
- Sums of terms of groups in A075621.at n=28A075625
- Number of partitions of n in which number of least parts is equal to least part.at n=43A096403
- Consider the family of multigraphs enriched by the species of trees. Sequence gives number of those multigraphs with n loops and edges.at n=5A099717
- Number of partitions of 2*n into parts of two kinds.at n=9A100534
- Numbers k such that A090831(k) is prime.at n=7A144675
- 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, 0, 0), (-1, 0, 1), (1, -1, 0), (1, 0, -1), (1, 1, 0)}.at n=8A149376
- Numbers of rank 10 in the poset of lunar numbers.at n=55A191752
- Indices n where A079878(n) = n.at n=6A200063
- Number of nonnegative integers with property that their base 10/3 expansion (see A024658) has n digits.at n=6A245428
- Numbers k such that R_(k+2) + 7*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=10A256933
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 173", based on the 5-celled von Neumann neighborhood.at n=25A270467
- Number of integer partitions of n whose product of parts is >= n.at n=34A319005
- Expansion of Sum_{k>0} x^(2*k)/(1+x^k)^4.at n=39A363598
- a(n) = Sum_{k=0..n} (-1)^k * binomial(n+k+3,n-k) * Fibonacci(k+1).at n=12A390859