Properties of the Number 8485

Eight Thousand Four Hundred Eighty-Five

Basics

Value: 8484 → 8485 → 8486

Parity: odd

Prime: No

Previous Prime: 8467

Next Prime: 8501

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 1697

Divisors: 1, 5, 1697, 8485

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100100101

Octal: 20445

Duodecimal: 4AB1

Hexadecimal: 2125

Square: 71995225

Square Root: 92.11405973031478

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

Expansion of e.g.f.: exp(x + 2·x²). A115329

T(n,k) = number of n X k 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302820

a(n) = A289676(3·n+1). A290436

a(n)=number of Catalan knight paths in right half-plane from (0,0) to (n,2). A96611

a(n) = A289670(n)/2^f(n), where f(n) = 2·floor((n-1)/3) + ((n+2) mod 3). A289676

Pair up the numbers. A30656

T(n,k)=number of increasing sequences of n integers x(1),...,x(n) with values in 1..k·n such that x(j) divides x(k) if j divides k. A180383

Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. exp(∑_j=1..k j·x^j). A293718

Molien series for complete weight enumerators of Type II self-dual codes over Z/8Z containing the all-ones vector. A92547

Denominators of continued fraction convergents to sqrt(181). A41335