Properties of the Number 37306

Thirty-Seven Thousand Three Hundred Six

Basics

Value: 37305 → 37306 → 37307

Parity: even

Prime: No

Previous Prime: 37277

Next Prime: 37307

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 23 × 811

Divisors: 1, 2, 23, 46, 811, 1622, 18653, 37306

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110111010

Octal: 110672

Duodecimal: 1970A

Hexadecimal: 91ba

Square: 1391737636

Square Root: 193.14761194485425

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

Number of integer partitions of n whose augmented differences are an aperiodic word. A329136

Another variant of Boustrophedon transform applied to 1, 0, 0, 0, ... A59032

Triangle in A059032 read by rows from left to right. A59033

Triangle in A059032 read by rows in natural order. A59034

a(n) = numerator of the continued fraction which has the positive divisors of n as its terms. A127611

Number of partitions of n+4 with largest inscribed rectangle having area <= n. A218625

One-quarter of the number of regions in the central square of an equal-armed cross with arms of length n (as in A331456). A337641

Number of lower triangles of a 4 X 4 0..n array with each element differing from all of its diagonal, vertical, antidiagonal and horizontal neighbors by one or less. A195234

a(n) = n*(1+3·n+6·n²)/2. A115519

Triangle T(n,k) read by rows: the number of compositions of n into k parts, modulo cyclic shifts. A37306