Properties of the Number 8245

Eight Thousand Two Hundred Forty-Five

Basics

Value: 8244 → 8245 → 8246

Parity: odd

Prime: No

Previous Prime: 8243

Next Prime: 8263

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 17 × 97

Divisors: 1, 5, 17, 85, 97, 485, 1649, 8245

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000110101

Octal: 20065

Duodecimal: 4931

Hexadecimal: 2035

Square: 67980025

Square Root: 90.80198235721508

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

a(n+6) = -a(n+5) + a(n+4) + 3a(n+3) + a(n+2) - a(n+1) - a(n). a(n) = sign(n) if abs(n)<=3. A1945

Number of asymmetric mobiles (cycle rooted trees) with n generators. A108529

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∑_j=1..k+1 binomial(k,j-1)*x^j/j). A293991

Composite numbers k of the form 4u+1 for which the odd part of φ(k) divides k-1. A339870

Odd composite numbers k such that A053575(k) [the odd part of φ] divides k-1. A339880

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(4,1). A268527

Row sums of triangle A049424. A49427

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. A299081

Numbers that are the sum of ten fourth powers in nine or more ways. A345602

Numbers that are the sum of ten fourth powers in exactly nine ways. A345861