Properties of the Number 75330

Seventy-Five Thousand Three Hundred Thirty

Basics

Value: 75329 → 75330 → 75331

Parity: even

Prime: No

Previous Prime: 75329

Next Prime: 75337

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁵ × 5 × 31

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010011001000010

Octal: 223102

Duodecimal: 37716

Hexadecimal: 12642

Square: 5674608900

Square Root: 274.4631122755843

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+1)X(k+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal. A236819

Numbers k such that (k, σ(k)) lies on a circle with integral radius centered at the origin, i.e., k² + σ(k)² is a square. A66764

Number of (n+1)X(1+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal. A236812

Number of (n+1)X(6+1) 0..2 arrays with the maximum plus the lower median minus the minimum of every 2X2 subblock equal. A236817

Second members of pairs in A075329. A75330

a(n) is the number of coverings of 1..n by cyclic words of length n, such that each value from 1 to n appears precisely 3 times. That is, the union of all the letters in all of the words of a given covering is the multiset {1,1,1,2,2,2,...,n,n,n}. Repeats of words are not allowed in a given covering. A110105