12684
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 34048
- Proper Divisor Sum (Aliquot Sum)
- 21364
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3600
- Möbius Function
- 0
- Radical
- 6342
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 81
- Smith Number
- yes
- 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
- Powers of fifth root of 3 rounded to nearest integer.at n=43A018121
- Powers of fifth root of 3 rounded up.at n=43A018122
- Expansion of Product_{k>=1} (1 + 3*x^k).at n=24A032308
- G.f.: g.f. for A001411 / g.f. for A004018.at n=10A046106
- Prime(n^2) +/- n are primes.at n=36A064495
- G.f. satisfies: A(x) = x + A(A(x))^2 - A(A(x))^4.at n=6A171992
- Number of (w,x,y,z) with all terms in {1,...,n} and w+x=|x-y|+|y-z|.at n=29A212676
- Number of Dyck paths of semilength n such that every peak at level y > 1 is preceded by (at least) one peak at level y-1 and is followed by (at least) one peak at level y-1.at n=14A287776
- Sum of the even parts in the partitions of n into 4 parts.at n=43A309519
- Integral area of primitive integer-sided triangles whose sides a < b < c are in arithmetic progression.at n=34A351178
- Convolution of A000009 and A000290.at n=20A360487
- Index where n first appears in A381658.at n=46A381659
- The number of irreducible zero-sum subsets of {-n..n} that contain -n but not n.at n=19A390082