Properties of the Number 37809

Thirty-Seven Thousand Eight Hundred Nine

Basics

Value: 37808 → 37809 → 37810

Parity: odd

Prime: No

Previous Prime: 37799

Next Prime: 37811

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 4201

Divisors: 1, 3, 9, 4201, 12603, 37809

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001110110001

Octal: 111661

Duodecimal: 19A69

Hexadecimal: 93b1

Square: 1429520481

Square Root: 194.4453650771856

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

Numbers k of the form 4m+1 for which A087808(σ(k)) is equal to 2·A087808(k). A332445

G.f.: ∑_n>=0 xⁿ * ∏_k=1..n (k - x) / (1 - k·x). A231172

G.f. = b(2)*b(4)*b(6)/(x⁸+x⁶-x⁵-x³-x+1), where b(k) = (1-x^k)/(1-x). A266333

Number of i such that d(i) <= d(i-1), where ∑_i=0..m d(i)*2ⁱ is the base-2 representation of n. A37809

Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly two ways, and new values 0..1 introduced in row major order. A206653