Properties of the Number 78013

Seventy-Eight Thousand Thirteen

Basics

Value: 78012 → 78013 → 78014

Parity: odd

Prime: No

Previous Prime: 78007

Next Prime: 78017

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13 × 17 × 353

Divisors: 1, 13, 17, 221, 353, 4589, 6001, 78013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000010111101

Octal: 230275

Duodecimal: 39191

Hexadecimal: 130bd

Square: 6086028169

Square Root: 279.30807363912703

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

Composite numbers k of the form 4u+1 for which the odd part of φ(k) divides k-1. A339870

Hypotenuse C of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q²-p², c=q²+p², b=2·p*q, s=a+b+c, s-+1 are primes. A155175

Positive numbers y such that y² is of the form x² + (x+97)² with integer x. A157469

a(n) = (4·n³ + 11·n² + 9·n + 2)/2. A135712

Expansion of x²*(1+3·x+x²-x³+28·x⁴+80·x⁵)/(1-10·x²+29·x⁴-24·x⁶). A122023

Smallest positive integer m such that m, m+1, m+2, m+3 are divisible by 2n+1, 2n+3, 2n+5, 2n+7 respectively. A279259

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 494", based on the 5-celled von Neumann neighborhood. A272547

Centered square numbers which are sphenic numbers. A380882

Expansion of (1-x)/(1-x+x³). A78013