12699
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19656
- Proper Divisor Sum (Aliquot Sum)
- 6957
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7872
- Möbius Function
- 0
- Radical
- 4233
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 200
- 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
- no
- Odd
- yes
Appears in sequences
- Lucky numbers with size of gaps equal to 20 (upper terms).at n=26A031903
- Smallest number that takes n steps to reach 0 under "k->max product of 2 numbers whose concatenation is k".at n=19A035932
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={3,4}.at n=16A079958
- Expansion of (5 - 9*x + 6*x^2)/(1-x)^4.at n=33A080957
- a(n) = 3*(2*n^2 + 1).at n=46A097803
- Expansion of 1/(x^k*(1-x-2*x^(k+1))) for k=9.at n=37A143452
- a(n) = n-th odd nonprime * n-th odd number.at n=41A163506
- The Wiener index of the Dutch windmill graph D(6,n) (n>=1).at n=16A180578
- Square array, read by antidiagonals, used to recursively calculate A080635.at n=38A185416
- The number of tilings of an equilateral triangle of side length n with k lozenges and n^2 - 2*k unit triangles. Triangle T(n, k) with n >= 1 and 0 <= k <= n*(n + 1)/2, read by rows.at n=18A273464
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 950", based on the 5-celled von Neumann neighborhood.at n=26A273829
- a(n) = (Product_{i=0..4}(i*n+2) - Product_{i=0..4}(-i*n-1))/(4*n+3).at n=8A274119
- G.f.: Product_{k>=1, j>=1} 1/(1 - x^(j*k^4)).at n=34A280662
- Number of odd parts in the partitions of n into 8 parts.at n=39A309628
- Number of tilings of an equilateral triangle of side length n with unit triangles (of side length 1) and exactly four unit "lozenges" or "diamonds" (also of side length 1).at n=4A326369
- Number of narrowly totally normal compositions of n.at n=18A332296
- Sum of the middle parts of the partitions of k into 3 parts for all 0 <= k <= n.at n=38A348919
- Number of edges in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts.at n=46A357008