12294
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
- 12
- Divisor Sum
- 26676
- Proper Divisor Sum (Aliquot Sum)
- 14382
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4092
- Möbius Function
- 0
- Radical
- 4098
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- Numbers that are the sum of 12 positive 11th powers.at n=6A004823
- a(n) = n*(19*n - 1)/2.at n=36A022276
- a(n) = A045820(n)/2.at n=14A045822
- Integers that can be expressed as the sum of consecutive primes in exactly 4 ways.at n=37A054999
- Numbers k such that k | sigma_11(k).at n=28A055715
- Numbers k such that x^k + x^9 + 1 is irreducible over GF(2).at n=42A057479
- Numbers which are the sum of their proper divisors containing the digit 4.at n=18A059463
- Integers expressible as the sum of (at least two) consecutive primes in at least 4 ways.at n=23A067374
- A000041(n)-A000010(n).at n=33A086739
- Least number k such that k! in binary representation contains a run of exactly n consecutive nontrivial zeros.at n=27A094010
- Numbers k such that 13*k = A048720(29,k), where A048720 is carryless base-2 multiplication.at n=36A115805
- Integers i such that 10*i XOR 11*i = 21*i.at n=40A115829
- A106486-encodings for the minimal representatives of each equivalence class of the finite combinatorial games.at n=44A126011
- A two level sequence: v(n)=2*(If[n == 0, 0, 2^(n - 1)] + 2); a(n)=If[n == 0, 6, (v[n] + v[n - 1] - 2)].at n=13A146529
- a(n) = 3*a(n-1) - 2*a(n-2), with a(1) = 9, a(2) = 12.at n=12A153973
- Number of n X n arrays of squares of integers with every 3X3 subblock summing to 5.at n=3A159204
- Number of n X n arrays of squares of integers with every (n-3)X(n-3) subblock summing to 5.at n=1A159362
- 1/4 the number of (n+1) X 6 0..2 arrays with every 2 X 2 subblock having distinct clockwise edge differences.at n=25A209724
- Numbers n such that n^32+1 and (n+2)^32+1 are both prime.at n=8A217992
- Number of descent sequences of length n without two consecutive identical elements (descent sequences without flat steps).at n=11A238425