12984
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 32520
- Proper Divisor Sum (Aliquot Sum)
- 19536
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 3246
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 138
- 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
- Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^5.at n=30A029842
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2 and 4 (mod 5).at n=56A035586
- a(n)=Sum{T(n,j): j=1,2,...,n}, array T given by A048212.at n=25A048222
- Number of n-digit dihedral primes for which the 4 numbers (n, n upside-down, n in a mirror, n upside-down and mirrored) are distinct.at n=12A048661
- Molien series for group H_{1,3}^{8} of order 2304.at n=35A051531
- Numbers n such that 2*10^n - 7 is prime.at n=15A102946
- Triangle arising in connection with deformations of type D Kleinian singularities.at n=39A108959
- n+p(n)+p(p(n)) is a palindrome, where p(n) denotes the n-th prime.at n=23A116037
- Numbers for which the sum of the digits is the square root of the product of their digits.at n=27A117720
- a(n) = 361*n^2 - 2*n.at n=5A158307
- Partial sums of prime numbers of measurement A002049.at n=32A173702
- Number of acute isosceles triangles on an n X n grid.at n=11A190317
- a(n) where a(n) * a(n-5) * a(n-10) = a(n-1) * a(n-6) * a(n-8) + a(n-2) * a(n-4) * a(n-9), with a(1) = ... = a(10) = 1.at n=22A205303
- Triangle of coefficients of polynomials u(n,x) jointly generated with A208930; see the Formula section.at n=50A208909
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| != |x-y|.at n=23A212960
- Fundamental discriminants of real quadratic number fields with class number 10.at n=28A218160
- Sequence of distinct least positive numbers such that the average of the first n terms is a cube.at n=23A245624
- Numbers missing from A001032 despite satisfying the necessary congruence conditions (see comments).at n=30A274469
- Numbers missing from A134419 despite satisfying the necessary congruence conditions (see comments).at n=36A274471
- Number of 5 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=14A281473