Properties of the Number 84496

Eighty-Four Thousand Four Hundred Ninety-Six

Basics

Value: 84495 → 84496 → 84497

Parity: even

Prime: No

Previous Prime: 84481

Next Prime: 84499

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 5281

Divisors: 1, 2, 4, 8, 16, 5281, 10562, 21124, 42248, 84496

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101000010000

Octal: 245020

Duodecimal: 40A94

Hexadecimal: 14a10

Square: 7139574016

Square Root: 290.6819567843866

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. (1/2)*(exp(2·x + x²) + 1). A902

Expansion of e.g.f.: exp(x²)*(exp(2·x)+1)/2. A122648

Number of nondecreasing arrangements of 7 nonzero numbers in -(n+5)..(n+5) with sum zero. A188337

Number of 5-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero with no three beads in a row equal. A208947

a(n) = [xⁿ] (1/15! * ∑_k=0..n (k+15)!*x^k)^1/8. A303616

Convolution of Fibonacci F(n+1), n>=0, with F(n+4), n>=0. A67332

T(n,k)=Number of nondecreasing arrangements of n nonzero numbers in -(n+k-2)..(n+k-2) with sum zero. A188333

Inverse permutation to A084495. A84496

Number of (n+2)X(3+2) 0..3 arrays with no increasing sequence of length 3 horizontally or diagonally downwards. A234063