12584
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 27930
- Proper Divisor Sum (Aliquot Sum)
- 15346
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 286
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 63
- 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
- Number of "cubic partitions" of n: expansion of Product_{k>0} 1/((1-x^(2k))^2*(1-x^(2k-1))) in powers of x.at n=25A002513
- a(n) = 10*n^3 - 6*n^2.at n=11A006592
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=14A031783
- Numbers k such that (k, sigma(k)) lies on a circle with integral radius centered at the origin, i.e., k^2 + sigma(k)^2 is a square.at n=21A066764
- Number of partitions of n with parts occurring at most thrice and an even number of parts. Row sums of A098489.at n=45A098491
- Eigentriangle, row sums = A125275.at n=34A147294
- Coefficients in a q-analog of the function LambertW(-2*x)/(-2*x), as a triangle read by rows.at n=39A152555
- Expansion of 1/(1 - x^5 - x^6 - x^7 - x^8 + x^13).at n=54A173924
- Number of nondecreasing arrangements of n numbers in -7..7 with sum zero and sum of squares not greater than n*56/3.at n=8A183925
- Column 0 of square array A211970 (in which column 1 is A000041).at n=27A211971
- a(n) = k, index of A165959(k) at record values.at n=14A230146
- Positions of 3's in A234323.at n=17A234804
- Number A(n,k) of n-length words w over a k-ary alphabet {a_1,...,a_k} such that w contains never more than j consecutive letters a_j (for 1<=j<=k); square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=72A242464
- Number of n-length words on {1,2,3,4,5} that contain at most one consecutive 1 and at most two consecutive 2's and at most three consecutive 3's and at most four consecutive 4's and at most five consecutive 5's.at n=6A242509
- a(n) = 26*n^2.at n=22A244633
- Numbers x such that sigma(x) + sigma(R(x)) = sigma(x + R(x)), where R(x) is the digit reversal of x and sigma(x) is the sum of the divisors of x.at n=18A246487
- Number of length 3 1..(n+2) arrays with no leading partial sum equal to a prime and no consecutive values equal.at n=30A255718
- Triangle read by rows: T(n,k) = number of neighbors in n-dimensional lattice for generalized neighborhood given with parameter k.at n=49A265014
- Number of free pure achiral multifunctions with one atom and n positions.at n=16A317883
- Number of ordered set partitions of [n] where the maximal block size equals ten.at n=3A320766