Properties of the Number 37665

Thirty-Seven Thousand Six Hundred Sixty-Five

Basics

Value: 37664 → 37665 → 37666

Parity: odd

Prime: No

Previous Prime: 37663

Next Prime: 37691

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 5 × 31

Divisors: 1, 3, 5, 9, 15, 27, 31, 45, 81, 93

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001001100100001

Octal: 111441

Duodecimal: 19969

Hexadecimal: 9321

Square: 1418652225

Square Root: 194.07472787563043

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 for which 2·k-1, 4·k-1, 8·k-1 and 16·k-1 are primes. A124494

Numbers n > 1 such that n⁵ - 2 has no prime factor > n. A83955

Numbers n such that A280864(n) = n. A280754

Triangle T(n, k) read by rows: T(n, k)= (m·n-m·k+1)*T(n-1, k-1) + k*(m·k-(m-1))*T(n-1, k) where m = 1. A166960

a(n) is the smallest j which satisfies (j² + k)/(j + k²) = n where j,k are integers and j >= k > 0. A290332

a(1)=1. a(n) = a(n-1) + (largest integer occurring among {a(1),a(2),a(3),...,a(n-1)} that is coprime to n). A120939

Numbers k such that 2·k-1, 4·k-1, 6·k-1 and 8·k-1 are primes. A124487

Numbers k that divide the (right) concatenation of all numbers <= k written in base 3 (most significant digit on left). A29448

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (-1, 1, 0), (-1, 1, 1), (1, 0, 0)}. A149082

Numbers n that are sqrt(n-1)-smooth: largest prime factor of n (=A006530(n)) < sqrt(n). A63539