Properties of the Number 65581

Sixty-Five Thousand Five Hundred Eighty-One

Basics

Value: 65580 → 65581 → 65582

Parity: odd

Prime: Yes

Previous Prime: 65579

Next Prime: 65587

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 65581

Divisors: 1, 65581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000000101101

Octal: 200055

Duodecimal: 31B51

Hexadecimal: 1002d

Square: 4300867561

Square Root: 256.08787554275193

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

First primitive GF(2)[X] polynomial of degree n. A132447

First primitive GF(2)[X] polynomial of degree n with at most 5 terms. A132449

First primitive GF(2)[X] polynomial of degree n and minimal number of terms. A132453

First primitive GF(2)[X] polynomials of degree n with exactly 5 terms. A132451

Primes of the form 2^x+2·x+y+2^y, with·and y integers of any sign. A162575

Minimal number (in decimal representation) with n nonprime substrings in base-4 representation (substrings with leading zeros are considered to be nonprime). A217104

Primes of the form 2ⁿ + 45. A243431

Numbers k with maximal exponent in prime factorization equal to 1, such that k+1 has maximal exponent 2, k+2 has maximal exponent 3, and k+3 has maximal exponent 4. A176913

Molien series for invariants of finite Coxeter group D₁₀ (bisected). A266773

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 5 or 7 king-move adjacent elements, with upper left element zero. A304922