Properties of the Number 17972

Seventeen Thousand Nine Hundred Seventy-Two

Basics

Value: 17971 → 17972 → 17973

Parity: even

Prime: No

Previous Prime: 17971

Next Prime: 17977

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 4493

Divisors: 1, 2, 4, 4493, 8986, 17972

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011000110100

Octal: 43064

Duodecimal: A498

Hexadecimal: 4634

Square: 322992784

Square Root: 134.05968819895114

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

Numbers that are the sum of eight fourth powers in eight or more ways. A345583

Numbers that are the sum of eight fourth powers in nine or more ways. A345584

Numbers that are the sum of eight fourth powers in ten or more ways. A345585

Numbers that are the sum of eight fourth powers in exactly ten ways. A345842

Numbers that reach the fixed point 89 under iteration of f(x) = reverse(x) - maxdigit(x). A97155

Nearest integer to γ(n + 8/11)/γ(8/11). A20007

a(n) = floor(γ(n + 8/11)/γ(8/11)). A20052

Number of n² X n² S-permutation matrices that are disjoint from a given one. A285178

Numbers which do not reach zero under either of the iterations: x -> floor(sqrt(x)) * (x - floor(sqrt(x))²) or y -> ceiling(sqrt(y)) * (ceiling(sqrt(y))² - y). A219963

Becomes prime or 4 after exactly 9 iterations of f(x) = sum of prime factors of x. A48131