12677
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14496
- Proper Divisor Sum (Aliquot Sum)
- 1819
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10860
- Möbius Function
- 1
- Radical
- 12677
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Expansion of 1/((1-2x)(1-8x)(1-11x)(1-12x)).at n=3A028020
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24.at n=42A051965
- Numbers n such that 3*2^(n-1) - 1 is prime.at n=31A091997
- a(n) = 7*a(n-1)-7*a(n-3)-a(n-4).at n=8A107376
- a(n) = (5*n^3+12*n^2+n+6)/6.at n=24A114211
- Number of parts in all partitions of n in which every integer from the smallest part to the largest part occurs as a part.at n=35A117457
- Diagonal immediately below the main diagonal of square array A130523.at n=6A130524
- a(n) = number of n-lettered words in the alphabet {1, 2, 3} with as many occurrences of the substring (consecutive subword) [1, 2, 1] as of [1, 3, 1].at n=9A211297
- Expansion of Product_{k>=1} 1/(1 - x^k)^(k*(2*k-1)).at n=9A278767
- a(n) is the number of unlabeled rank-3 graded lattices with 4 coatoms and n atoms.at n=26A322599
- a(n) is the largest integer k such that there is an integer m with exactly n nonunitary prime factors and m + A005117(i) is squarefree for 1 <= i <= k.at n=17A390138