Properties of the Number 9637

Nine Thousand Six Hundred Thirty-Seven

Basics

Value: 9636 → 9637 → 9638

Parity: odd

Prime: No

Previous Prime: 9631

Next Prime: 9643

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 23 × 419

Divisors: 1, 23, 419, 9637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010110100101

Octal: 22645

Duodecimal: 56B1

Hexadecimal: 25a5

Square: 92871769

Square Root: 98.16822296446034

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

T(n,k) = Number of n X k binary arrays with top left value 1 and no two ones adjacent horizontally, vertically or nw-se diagonally. A228285

Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ... A62725

Variant on Lucas numbers: a(n) = a(n-1) + 3·a(n-2) with a(0)=2 and a(1)=1. A75118

40-gonal numbers: a(n) = 38·n*(n-1)/2 + n. A261191

Composites c where at least one base b with 1 < b < c exists such that b^c-1 == 1 (mod c²), i.e., composites c that are base-b 'Wieferich pseudoprimes' for at least one b between 1 and c. A267288

Pseudoprimes to base 13. A20141

Records in A007535. A98654

a(n) = 5·n² - n + 1. A172043

Strong pseudoprimes to base 13. A20239

Numbers k such that 13k = 6j² + 6j + 1. A106390