Properties of the Number 84616

Eighty-Four Thousand Six Hundred Sixteen

Basics

Value: 84615 → 84616 → 84617

Parity: even

Prime: No

Previous Prime: 84589

Next Prime: 84629

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 7 × 1511

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 1511, 3022

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101010001000

Octal: 245210

Duodecimal: 40B74

Hexadecimal: 14a88

Square: 7159867456

Square Root: 290.88829471121727

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

G.f.: (1 - 7·x - sqrt(49·x² - 18·x + 1))/(2·x). A82366

Number of ordered pairs (p,q) of permutations of [n] with equal up-down signatures and p(1)=1 if n>0. A262233

a(n) = 11 + floor((2 + ∑_j=1..n-1 a(j))/3). A120156

Sum of the even parts in the partitions of n into 9 parts. A309659

Maximum number of circles of diameter 1 that can be packed in a square of area n (i.e., with side length n^1/2). A84616

Square array read by ascending antidiagonals, n>=0, k>=0. Row n is the expansion of (1-n·x-sqrt(n²*x²-2·n*x-4·x+1))/(2·x). A247507