Properties of the Number 45137

Forty-Five Thousand One Hundred Thirty-Seven

Basics

Value: 45136 → 45137 → 45138

Parity: odd

Prime: Yes

Previous Prime: 45131

Next Prime: 45139

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 45137

Divisors: 1, 45137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000001010001

Octal: 130121

Duodecimal: 22155

Hexadecimal: b051

Square: 2037348769

Square Root: 212.4547010541306

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

a(n) = (3·n⁴ - 4·n³ + n² + 4·n + 4)/4. A366478

Numerator of [x^{2·n + 1}] in the Taylor series expansion of arcsin(cosec(x) - cotanh(x)). A13538

Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 3 (mod 4). A46779

Penta-Primes. Prime Numbers n as a Sum of 5 consecutive prime numbers (four twin primes and single prime number in between) are primes. A138397

Prime numbers containing the digit string 137. A190307

Primes that can be generated by the concatenation in base 6, in ascending order, of two consecutive integers read in base 10. A287306

a(n) = ∑_{k=0..floor((n-1)/2)} (-n)^k * Stirling2(n,2·k+1). A357739

Decimal expansion of Soldner's constant. A70769

Denominators of coefficients in Taylor series expansion of arcsin(cosec(x)-cotanh(x)). A202381

Numbers whose base-4 representation contains no 2's and exactly four 3's. A45137