Properties of the Number 78356

Seventy-Eight Thousand Three Hundred Fifty-Six

Basics

Value: 78355 → 78356 → 78357

Parity: even

Prime: No

Previous Prime: 78347

Next Prime: 78367

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 19 × 1031

Divisors: 1, 2, 4, 19, 38, 76, 1031, 2062, 4124, 19589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011001000010100

Octal: 231024

Duodecimal: 39418

Hexadecimal: 13214

Square: 6139662736

Square Root: 279.9214175442815

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

Number of n X 6 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281203

Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s. A297721

Number of odd chordless cycles of length > 4 in the n X n king graph. A362511

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281205

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253159

Minimal positive solution z of Pell equation z² - A077426(n)*t² = -4. A78356