Properties of the Number 78023

Seventy-Eight Thousand Twenty-Three

Basics

Value: 78022 → 78023 → 78024

Parity: odd

Prime: No

Previous Prime: 78017

Next Prime: 78031

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 41 × 173

Divisors: 1, 11, 41, 173, 451, 1903, 7093, 78023

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011000011000111

Octal: 230307

Duodecimal: 3919B

Hexadecimal: 130c7

Square: 6087588529

Square Root: 279.3259744456287

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

Given g.f. A(x), the even bisections of both A(x) and A(x)² are equal, and the odd bisections of both A(x)² and A(x)³ are equal (after the initial terms). A351771

G.f. A(x) satisfies: A(x) = (1 + 2·x*A(x)³)² / (1 + x·A(x)³). A352383

The non-common part of the smaller number of an amicable pair. A180326

Triangle T(n,m), [x·A(x)]^m=sum(n>=m T(n,m)*xⁿ), where A(x) satisfies x·A(x)³= -(2·x*A(x)²+sqrt(1-4·x*A(x)²)-1)/(4·x*A(x)²+sqrt(1-4·x*A(x)²)-1). A188110

G.f. (1/x)*Series_Reversion( x*(1-x)*(3 - 2·x + sqrt(1+4·x-4·x²))/4 ). A352701

G.f. A(x) satisfies: A(x) = (1 + 2·x*A(x))⁶ / (1 + x·A(x))³. A352384

Expansion of (1-x)/(1-2·x²-2·x³). A78023

The smallest deficient number that begins a run of at least n consecutive deficient numbers with the same number of prime factors (counted with multiplicity). A377353