Properties of the Number 36137

Thirty-Six Thousand One Hundred Thirty-Seven

Basics

Value: 36136 → 36137 → 36138

Parity: odd

Prime: Yes

Previous Prime: 36131

Next Prime: 36151

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 36137

Divisors: 1, 36137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110100101001

Octal: 106451

Duodecimal: 18AB5

Hexadecimal: 8d29

Square: 1305882769

Square Root: 190.0973434848578

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

Class 7- primes. A81426

O.g.f. satisfies: A(x) = ∑_n>=0 (n+1)ⁿ * xⁿ * A((n+1)*x)ⁿ/n! * exp(-(n+1)*x·A((n+1)*x)). A193363

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₇)² <= n. A341402

a(n) is the smallest integer m such that A039995(m)=n. A94535

Primes with 4 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of its digits d. A57880

a(n) = smallest number m such that m² and n² share no common digits and m² and n² together use all 10 digits, a(n) = 0 if no such m exists. A158931

Numbers k such that the continued fraction for sqrt(k) has period 79. A20418

Prime sums of 4 positive 5th powers. A123033

Prime numbers containing the digit string 137. A190307