Properties of the Number 82377

Eighty-Two Thousand Three Hundred Seventy-Seven

Basics

Value: 82376 → 82377 → 82378

Parity: odd

Prime: No

Previous Prime: 82373

Next Prime: 82387

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁶ × 113

Divisors: 1, 3, 9, 27, 81, 113, 243, 339, 729, 1017

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000111001001

Octal: 240711

Duodecimal: 3B809

Hexadecimal: 141c9

Square: 6785970129

Square Root: 287.0139369438355

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 form a Pythagorean 5-tuple with their first three arithmetic derivatives. A249105

Consecutive states of the linear congruential pseudo-random number generator (31481·s+21139) mod 10⁵ when started at s=1. A384341

G.f. A(x) satisfies A(x) = 1/( 1 - 9·x*A(x)*(1 + x·A(x)) )^1/3. A372091

Numbers n such that n | 3ⁿ + 2ⁿ + 1ⁿ. A56645

Numbers k such that k | 12^k + 11^k + 1. A57293

a(n) = 1/5!*(A000522(5·n)+10·A000522(3·n)+20·A000522(2·n)+45·A000522(n)+44). A86897

Numbers n such that 6·10ⁿ + 8·R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103046

Decimal part of 1/a(n) starts with Fibonacci(n) (leading zeros excluded). A99405

Odd composite numbers k such that M(k-3) == (-3)^(k-3/2) (mod k), where M(k) = A001006(k) is the k-th Motzkin number. A393215

Numbers k such that rad(k) - φ(k) <= 1, where rad = A007947 and φ = A000010. A82377