Properties of the Number 96739

Ninety-Six Thousand Seven Hundred Thirty-Nine

Basics

Value: 96738 → 96739 → 96740

Parity: odd

Prime: Yes

Previous Prime: 96737

Next Prime: 96749

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 96739

Divisors: 1, 96739

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10111100111100011

Octal: 274743

Duodecimal: 47B97

Hexadecimal: 179e3

Square: 9358434121

Square Root: 311.0289375604784

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

Primes whose trajectories under the map x -> A039951(x) enter the cycle {83, 4871} (conjectured). A252812

Primes of the form 2m·691 - 1. A134671

Primes of the form p² + 18, where p is prime. A201688

Number of nX6 0..1 arrays with every element unequal to 0, 2, 3, 4 or 8 king-move adjacent elements, with upper left element zero. A305279

Number of nX7 0..1 arrays with every element unequal to 0, 2, 3, 4 or 8 king-move adjacent elements, with upper left element zero. A305280

Primes p such that q² - p² + 1 is the square of a composite number where p and q are consecutive primes. A316934

Numbers k such that k⁴ can be written as a sum of four distinct positive 4th powers. A96739

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 4 or 8 king-move adjacent elements, with upper left element zero. A305281

Least k such that A046694(k) = A046694(k+1) = ... = 0 are n consecutive zeros starting with A046694(k), where A046694 = Ramanujan τ numbers mod 691. A134670