Properties of the Number 61057

Sixty-One Thousand Fifty-Seven

Basics

Value: 61056 → 61057 → 61058

Parity: odd

Prime: Yes

Previous Prime: 61051

Next Prime: 61091

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 61057

Divisors: 1, 61057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111010000001

Octal: 167201

Duodecimal: 2B401

Hexadecimal: ee81

Square: 3727957249

Square Root: 247.09714688761585

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 p such that q-p = 34, where q is the next prime after p. A134116

E.g.f. satisfies: A(x) = exp(x·exp(x·A(x)²)). A161567

Primes 10k + 7 preceding the maximal gaps in A269238. A269239

a(n) = smallest prime number p_k such that 1/p_n + 1/p_n+1 + ... + 1/p_k > 1. A119494

Primes of the form 11·k²-11·k+7. A267290

Factorial splitting: write n! = x·y with x <= y and·maximal; sequence gives value of y-x. A61057