Properties of the Number 15997

Fifteen Thousand Nine Hundred Ninety-Seven

Basics

Value: 15996 → 15997 → 15998

Parity: odd

Prime: No

Previous Prime: 15991

Next Prime: 16001

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 17 × 941

Divisors: 1, 17, 941, 15997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11111001111101

Octal: 37175

Duodecimal: 9311

Hexadecimal: 3e7d

Square: 255904009

Square Root: 126.4792473095883

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

a(n) = ∑_{1 <= x₁, x₂, x₃, x₄, x₅ <= n} ( n/gcd(x₁, x₂, x₃, x₄, x₅, n) )². A373007

Numbers k such that the continued fraction for sqrt(k) has period 83. A20422

Numbers k such that A361338(k) = 9. A361348

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...), t = (composite numbers). A24480

a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers). A25100

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1000-1110-0111 pattern in any orientation. A146819

Odd k for which abs(2^m - k) is nonprime for all m < k. A263865

Inverse of 1988th cyclotomic polynomial. A15997