Properties of the Number 15984

Fifteen Thousand Nine Hundred Eighty-Four

Basics

Value: 15983 → 15984 → 15985

Parity: even

Prime: No

Previous Prime: 15973

Next Prime: 15991

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 37

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111001110000

Octal: 37160

Duodecimal: 9300

Hexadecimal: 3e70

Square: 255488256

Square Root: 126.42784503423286

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of integer partitions of n whose parts do not have choosable sets of strict integer partitions. A387137

Numbers k such that k² is palindromic in base 11. A29996

Numbers k such that σ(x) = k has exactly 10 solutions. A60666

G.f.: (1 / theta₄(x) - 1)² / 4, where theta₄() is the Jacobi θ function. A338223

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). A62917

Sums of distinct powers of 11. A33047

Sum of three solutions of the Diophantine equation x² - y² = z³. A85409

Numbers of the form p⁴*q³*r where p, q, and r are distinct primes. A179698

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. A82994

a(n) = n·A002088(n). A143270