Properties of the Number 77744

Seventy-Seven Thousand Seven Hundred Forty-Four

Basics

Value: 77743 → 77744 → 77745

Parity: even

Prime: No

Previous Prime: 77743

Next Prime: 77747

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 43 × 113

Divisors: 1, 2, 4, 8, 16, 43, 86, 113, 172, 226

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111110110000

Octal: 227660

Duodecimal: 38BA8

Hexadecimal: 12fb0

Square: 6044129536

Square Root: 278.82611068549517

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 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

Near-multiperfects with primes, powers of 2, 6·prime and 2ⁿ * prime excluded, abs(σ(n) mod n) <= log(n). A117350

Near-multiperfects with primes and powers of 2 excluded, abs(σ(m) mod m) <= log(m). A117348

Primitive nondeficient numbers satisfying a stronger condition that compares abundancy with related numbers as detailed in the comments. A352739