Properties of the Number 25303

Twenty-Five Thousand Three Hundred Three

Basics

Value: 25302 → 25303 → 25304

Parity: odd

Prime: Yes

Previous Prime: 25301

Next Prime: 25307

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 25303

Divisors: 1, 25303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110001011010111

Octal: 61327

Duodecimal: 12787

Hexadecimal: 62d7

Square: 640241809

Square Root: 159.06916734552928

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

Sum of the squarefree parts of the partitions of n into 8 parts. A309484

Smallest prime q such that 2n+1 = p³ - 2q for some odd prime p, or 0 if no such prime exists. A224730

Largest prime == 7 (mod 8) with class number 2n+1. A2147

Prime quadruples: 2nd term. A136720

Primes of the form 2·n² + 10·n + 3. A221902

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{φ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A244068

Primes that do not divide any term of the Lucas 4-step sequence A073817. A106300

Primes p in prime triples (p, p+4, p+6) at the end of the maximal gaps in A201596. A233435

Primes having only {0, 2, 3, 5} as digits. A386042

Pairs of prime numbers (p,q), p minimal, such that prime(n) = p³ - 2·q, or (0,0) if no such pair exists. A392479