Properties of the Number 37089

Thirty-Seven Thousand Eighty-Nine

Basics

Value: 37088 → 37089 → 37090

Parity: odd

Prime: No

Previous Prime: 37087

Next Prime: 37097

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 317

Divisors: 1, 3, 9, 13, 39, 117, 317, 951, 2853, 4121

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011100001

Octal: 110341

Duodecimal: 19569

Hexadecimal: 90e1

Square: 1375593921

Square Root: 192.5850461484484

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) = (2·n-1)*(5·n²-5·n+2)/2. A63495

Sum of all the middle parts in the partitions of 3n into 3 parts. A236364

Partial sums of A036967. A176273

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 197", based on the 5-celled von Neumann neighborhood. A270718

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, -1), (0, 1, -1), (1, 0, 1)}. A149355

Expansion of 1 / (1 + ∑_k>=1 μ(k)² * x^k). A329099

Lexicographically earliest strictly increasing decimal autovarious sequence: a(n) = number of distinct n-digit endings (left-zero-padded) of terms in the sequence. A37089