Properties of the Number 36809

Thirty-Six Thousand Eight Hundred Nine

Basics

Value: 36808 → 36809 → 36810

Parity: odd

Prime: Yes

Previous Prime: 36793

Next Prime: 36821

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 36809

Divisors: 1, 36809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111111001001

Octal: 107711

Duodecimal: 19375

Hexadecimal: 8fc9

Square: 1354902481

Square Root: 191.8567173700207

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 the form 36·k² - 810·k + 2753, listed in order of increasing parameter k >= 0. A50268

Primes p such that p, p+12, p+24 are consecutive primes. A52188

Smallest odd prime base q such that p³ divides q^p-1 - 1, where p = prime(n). A125637

Number of integer partitions of n whose negated first differences (assuming the last part is zero) are not unimodal. A332744

a(n) = 36·n² - 810·n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44. A117081

Primes of the form 36·n² - 810·n + 2753, n >= 0, sorted. A22464

Primes p such that the polynomial x⁵-x⁴-x³-x²-x-1 mod p has 5 distinct zeros. A106281

Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x⁵ - x⁴ - x³ - x² - x - 1 modulus p is factorizable into five binomials. A135847

Lexicographically largest increasing sequence of primes for which the continued square root map (see A257574) produces π. A257582

Prime numbers p for which quintonacci quintic polynomial x⁵-x⁴-x³-x²-x-1 modulus p is completely factorizable. A135846