12876
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 31920
- Proper Divisor Sum (Aliquot Sum)
- 19044
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4032
- Möbius Function
- 0
- Radical
- 6438
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 76
- 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
- Perimeters of more than one primitive Pythagorean triangle.at n=18A024408
- Numbers k such that k * (1+i)^k - i is a Gaussian prime.at n=15A058772
- Even numbers n such that n^2*2^n + 1 is prime.at n=13A058779
- Numbers k such that k^2 * 2^k + 1 is prime.at n=23A058780
- n * (1+i)^n + i is a Gaussian prime.at n=20A058782
- T(n,m) = (1/m!)*Sum_{i=0..m} stirling1(m,i)*(2^i)*(2^i+1)*...*(2^i+n-1).at n=27A059587
- Number of incongruent ways to tile a 4 X n room with 1 X 2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=56A068929
- Rewrite 0->100 in the binary expansion of n.at n=34A080303
- a(n) = (5*n+1)*(5*n+6).at n=22A085025
- Coefficients of a Ramanujan q-series.at n=29A143184
- Number of permutations of floor(i*7/3), i=0..n-1, with all sums of two adjacent terms unique.at n=7A147920
- Second entry in row n of triangle in A169940.at n=27A169943
- Partial sums of A006567.at n=31A172463
- 1-sequence of reduction of (3n) by x^2 -> x+1.at n=12A192308
- Numbers k such that either k^2*2^k-1 or k^2*2^k+1 is prime, but not both.at n=45A237759
- Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3*floor(n/2), read by rows.at n=39A238555
- Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape P; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=42A247706
- Number of distinct proper angles that can be formed by a vertex and two leg endpoints on grid points in an n X n square grid.at n=16A252591
- Expansion of Product_{k>=1} (1 + 2*x^k)/(1 - 2*x^k).at n=10A261584
- a(n) = 3*(9*n - 1)*(3*n - 2).at n=13A277985