Properties of the Number 8612

Eight Thousand Six Hundred Twelve

Basics

Value: 8611 → 8612 → 8613

Parity: even

Prime: No

Previous Prime: 8609

Next Prime: 8623

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 2153

Divisors: 1, 2, 4, 2153, 4306, 8612

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110100100

Octal: 20644

Duodecimal: 4B98

Hexadecimal: 21a4

Square: 74166544

Square Root: 92.80086206496145

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

Sum of 12 nonzero 8th powers. A3390

Triangle T read by rows: matrix product of Pascal and Catalan triangle. A104259

Smallest even k such that lpf(k-1) = prime(n), while lpf(k-3) > prime(n), where lpf=least prime factor (A020639). A242489

Number of partitions of n in which each odd part has odd multiplicity. A131942

T(n,k)=1/4 the number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having distinct edge sums. A209382

Numbers n such that there are precisely 5 groups of orders n and n + 1. A295991

Numbers that are the sum of eight fourth powers in exactly five ways. A345837

Expansion of φ(q²)² / (φ(-q) * φ(q⁴)) in powers of q where φ() is a Ramanujan θ function. A212318

"Ceiling of hypotenuses": a(n) = ceiling(sqrt(a(n-1)² + a(n-2)²)), a(1)=1, a(2)=3. A104805

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2. A214023