Properties of the Number 85173

Eighty-Five Thousand One Hundred Seventy-Three

Basics

Value: 85172 → 85173 → 85174

Parity: odd

Prime: No

Previous Prime: 85159

Next Prime: 85193

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 29 × 89

Divisors: 1, 3, 11, 29, 33, 87, 89, 267, 319, 957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100110010110101

Octal: 246265

Duodecimal: 41359

Hexadecimal: 14cb5

Square: 7254439929

Square Root: 291.84413648384304

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

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{σ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A244069

Odd numbers k such that A292270((k-1)/2) is a square < ((k-1)/2)². A292379

Numbers k such that 7·2^k + 5 is prime. A58595

Permutation of natural numbers induced by the Catalan bijection gma085173 acting on symbolless S-expressions encoded by A014486/A063171. A85173