Properties of the Number 17816

Seventeen Thousand Eight Hundred Sixteen

Basics

Value: 17815 → 17816 → 17817

Parity: even

Prime: No

Previous Prime: 17807

Next Prime: 17827

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 17 × 131

Divisors: 1, 2, 4, 8, 17, 34, 68, 131, 136, 262

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110011000

Octal: 42630

Duodecimal: A388

Hexadecimal: 4598

Square: 317409856

Square Root: 133.47658970770868

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 k whose abundance is 8: σ(k) - 2·k = 8. A88833

Numbers k such that σ(k) == 8 (mod k). A45770

Abundant numbers n for which the abundance d = σ(n) - 2·n is a proper divisor, that is, 0 < d < n and d | n. A181595

Abundant numbers n such that n/(σ(n)-2n) is an integer. A153501

Numbers k such that k² contains exactly 9 different digits. A54037

Even and odd solutions to abs(σ(x)-2x) <= log(x). Numbers n whose abundance-radius does not exceed log(n). A88011

Barely abundant numbers: abundant n such that σ(n)/n < σ(m)/m for all abundant numbers m<n, σ(n) being the sum of the divisors of n. A71927

Numbers m divisible by 8 and with abundance σ(m)-2·m = 8. A181598

Numbers k such that σ(k) == 0 (mod k+4). A274553

Near-multiperfects with primes, powers of 2 and 6·prime excluded, abs(σ(n) mod n) <= log(n). A117349