Properties of the Number 37675

Thirty-Seven Thousand Six Hundred Seventy-Five

Basics

Value: 37674 → 37675 → 37676

Parity: odd

Prime: No

Previous Prime: 37663

Next Prime: 37691

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 11 × 137

Divisors: 1, 5, 11, 25, 55, 137, 275, 685, 1507, 3425

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001100101011

Octal: 111453

Duodecimal: 19977

Hexadecimal: 932b

Square: 1419405625

Square Root: 194.10048943781672

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

Expansion of x²*(10-5·x+x²)/((1-x)⁴*(1-x²)). A331429

Triangular numbers with sum of digits = 28. A68132

Row sums of triangle A093922. A93925

Numbers n such that φ(φ(n)) + σ(σ(n)) is a 4th power. A172464

Denominators of signed Egyptian fractions 1/(1+2·a(n)) with sums converging to 2. A226128

Triangular numbers which become primes when their rightmost digit is removed. A227936

Triangular numbers that in base 2 have the same number of 0's and 1's. A345348

Coefficient of xⁿ in the expansion of ( (1+x) / (1-x³)³ )ⁿ. A370216

Sequence of distinct least positive triangular numbers such that the arithmetic mean of the first n terms is also a triangular number. Initial term is 1. A236416

Numbers m such that all parts of the symmetric representation of σ(m) have width 1 and two parts meet at the center of the Dyck path. A392197