Properties of the Number 67585

Sixty-Seven Thousand Five Hundred Eighty-Five

Basics

Value: 67584 → 67585 → 67586

Parity: odd

Prime: No

Previous Prime: 67579

Next Prime: 67589

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 1931

Divisors: 1, 5, 7, 35, 1931, 9655, 13517, 67585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100000000001

Octal: 204001

Duodecimal: 33141

Hexadecimal: 10801

Square: 4567732225

Square Root: 259.97115224578283

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..3 arrays with every 2X2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. A210125

T(n,k)=Number of nXk 0..3 arrays with rows and columns unimodal and antidiagonals nondecreasing. A224050

Numbers k such that A163511(k) is a fifth power. A365802

Permutation of N induced by rotating the node 2 left in the infinite planar binary tree shown at A065658. A65663

a(n) = T(0,n), array T given by A048505. A48506

Numbers n such that φ(n) is equal to d₁!+d₂!+...+d_k!, where d₁ d₂ ... d_k is the decimal expansion of n. A101697

a(n) = T(5,n), array T given by A048472. A48477

a(n) = 66·n² + 1. A158689

Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. A210119

Number of (n+1)X5 0..3 arrays with every 2X2 subblock having two or four distinct values, and new values 0..3 introduced in row major order. A210121