Properties of the Number 25793

Twenty-Five Thousand Seven Hundred Ninety-Three

Basics

Value: 25792 → 25793 → 25794

Parity: odd

Prime: Yes

Previous Prime: 25771

Next Prime: 25799

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 25793

Divisors: 1, 25793

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110010011000001

Octal: 62301

Duodecimal: 12B15

Hexadecimal: 64c1

Square: 665278849

Square Root: 160.60199251565965

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 of the form 26k+1 generated recursively. Initial prime is 53. General term is a(n) = Min {p is prime; p divides (R¹³ - 1)/(R - 1); p == 1 (mod 13)}, where Q is the product of previous terms in the sequence and R = 13·Q. A125037

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = ∑_k>=0 y^k * R_k(y)^n·k for n>=0, with R₀(y) = 1/(1-y). A124530

Row 2 of rectangular table A124530. A124532

Number of partitions of n into parts having the same number of distinct prime divisors as n. A300979

Numbers b > 1 such that the smallest four primes, i.e., 2, 3, 5 and 7 are base-b Wieferich primes. A339533

The first prime of 8 consecutive primes a, b, c, d, e, f, g, h such that a + g = c + e and b + h = d + f. A292618

a(n) is the largest prime factor of (n-1)ⁿ - n^n-1. A174379

Frobenius number of the numerical semigroup generated by three consecutive pentagonal numbers. A69757

Primes p such that all the digits needed to write the consecutive Primes from 2 to p fill exactly a square (no holes, no overlaps). A158024

Primes of the form perfect_power(n)+n. A75781