15984
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
- 2
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 47120
- Proper Divisor Sum (Aliquot Sum)
- 31136
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 222
- Omega Function (Ω)
- 8
- 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
- 53
- 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
- Hit polynomials, coefficient of y in N_n(y).at n=5A004308
- Numbers k such that k^2 is palindromic in base 11.at n=30A029996
- Sums of distinct powers of 11.at n=27A033047
- Theta series of tensor cube of A_2 lattice (dimension 8, det 3^12).at n=33A033688
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 3 (mod 5).at n=50A035567
- Numbers whose cube is palindromic in base 11.at n=10A046243
- Number of positive integers <= 2^n of form x^2 + 18 y^2.at n=17A054231
- Numbers k such that sigma(x) = k has exactly 10 solutions.at n=27A060666
- Nonpalindromic numbers k such that k is not divisible by 10 and k*R(k) is a square, where R(k) is the reversal of k (A004086).at n=24A062917
- a(n) = 12*n*(n-1).at n=37A064200
- a(n) = n*phi(n*phi(n)).at n=36A078774
- Numbers k such that all the following properties hold: (i) k*reverse(k) is a square; (ii) k != reverse(k); (iii) k and reverse(k) are not both squares; and (iv) k and reverse(k) have the same number of digits.at n=13A082994
- Sum of three solutions of the Diophantine equation x^2 - y^2 = z^3.at n=12A085409
- Number of base 12 circular n-digit numbers with adjacent digits differing by 2 or less.at n=6A124858
- Coordination sequence for 6-dimensional cyclotomic lattice Z[zeta_18].at n=6A126900
- Expansion of 3 * (b(q)^2/b(q^2)) / (c(q)^2/c(q^2)) in powers of q where b(), c() are cubic AGM theta functions.at n=17A128637
- First term of the first run of at least n consecutive numbers in A137292.at n=5A138662
- A090801(2n-1)+A090801(2n).at n=36A140958
- a(n) = n*A002088(n).at n=36A143270
- a(n) = smallest k having n prime factors such that k + sum of the prime factors of k also has n prime factors.at n=6A159235