Properties of the Number 8845

Eight Thousand Eight Hundred Forty-Five

Basics

Value: 8844 → 8845 → 8846

Parity: odd

Prime: No

Previous Prime: 8839

Next Prime: 8849

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 29 × 61

Divisors: 1, 5, 29, 61, 145, 305, 1769, 8845

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10001010001101

Octal: 21215

Duodecimal: 5151

Hexadecimal: 228d

Square: 78234025

Square Root: 94.04786015641186

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

Values of n such that L(12) and N(12) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227515

a(n) = 8·n² + 4·n + 1. A102083

Number of proper divisors of n-th even perfect number. A133033

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,1 1,0 -1,-2 or 0,2. A264313

a(n) = n⁴/2 - n³ + 3·n²/2 - n + 1 = (n² + 1)*(n² - 2·n + 2)/2. A58919

Numbers of the form m = p1·p2·p3 where for each d∣m we have (d+m/d)/2 prime and p1 < p2 < p3 each prime. A128284

Number of partitions p of n such that the number of parts having multiplicity 1 is a part and max(p) - min(p) is a part. A241447

Numbers n that are the product of three distinct odd primes and x² + y² = n has integer solutions. A264498

Expansion of 1/(1 - x*∏_k>=1 1/(1 + x^k)^k). A299212

a(0) = 1; a(n) = a(n-1) + ∑_k=0..n-1 (1 + k) * k³ * binomial(n-1,k) * a(k) * a(n-1-k). A386506