Properties of the Number 40577

Forty Thousand Five Hundred Seventy-Seven

Basics

Value: 40576 → 40577 → 40578

Parity: odd

Prime: Yes

Previous Prime: 40559

Next Prime: 40583

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 40577

Divisors: 1, 40577

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111010000001

Octal: 117201

Duodecimal: 1B595

Hexadecimal: 9e81

Square: 1646492929

Square Root: 201.43733516902967

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

Primes of form n² + 4096. A256836

Difference between two partition g.f.s. A7327

Primes of the form 384·k + 257. A229856

Numerators of the partial sums of the reciprocals of (k+1)*(4·k+3) = A033991(k+1), for k >= 0. A294516

Primes of the form 256n+129. A105130

Primes that remain prime through 3 iterations of function f(x) = 6x + 7. A23289

Prime sums of 4 positive 5th powers. A123033

Primes of the form 10·k²+14·k+5, k >= 0. A154412

Three-column array pPT read by rows: subsequence of primitive Pythagorean triples (x, y, z) with x = A153893² - A000079², y = 2·A153893·A000079, z = A153893² + A000079², ordered by increasing z. A334638

Primes having only {0, 4, 5, 7} as digits. A386070