Properties of the Number 78233

Seventy-Eight Thousand Two Hundred Thirty-Three

Basics

Value: 78232 → 78233 → 78234

Parity: odd

Prime: Yes

Previous Prime: 78229

Next Prime: 78241

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 78233

Divisors: 1, 78233

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000110011001

Octal: 230631

Duodecimal: 39335

Hexadecimal: 13199

Square: 6120402289

Square Root: 279.7016267382083

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

Smallest prime of irregularity index n. A61576

Irregular primes with irregularity index five. A219333

Largest prime substring in 6ⁿ (0 if none). A46272

Odd primes p with the property that gcd(ord_p q: prime q divides p-1) = 1. A295975

Pierpont 6-almost primes. 6-almost primes of form (2^K)*(3^L)+1. A111346

a(1) = 3, a(n+1) = smallest multiple of a(n) using only prime digits(2,3,5,7). A78233

E.g.f. A(x) satisfies: A( tanh( A(x) ) ) = tan(x). A279837

E.g.f. A(x) satisfies: A( tan( A(x) ) ) = tanh(x). A279839

The number of lozenge tilings of a semiregular hexagon of side lengths n, n, 2·n, n, n and 2·n; equivalently, the number of plane partitions whose solid Young diagram fits inside an n X n X 2·n box. A352656