Properties of the Number 78642

Seventy-Eight Thousand Six Hundred Forty-Two

Basics

Value: 78641 → 78642 → 78643

Parity: even

Prime: No

Previous Prime: 78623

Next Prime: 78643

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 17 × 257

Divisors: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001100110010

Octal: 231462

Duodecimal: 39616

Hexadecimal: 13332

Square: 6184564164

Square Root: 280.43180989324304

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

Split positive integers into extending even groups and sum: 1+2, 3+4+5+6, 7+8+9+10+11+12, 13+14+15+16+17+18+19+20, ... A61317

Number whose binary expansion encodes via runlengths the partition that is at the top of the main trunk of Bulgarian solitaire game tree drawn for the deck with n(n+1)/2 cards. A227451

a(n) = n·Fibonacci(n) * ∑_d∣n 1/(d·Fibonacci(d)). A203319

Sequence b₄ (n) arising from homology of partitions with even number of blocks. A3994

Expansion of ∏_k>=1 (1 + x^prime(k))^prime(k). A291647

a(n) = 4·a(n-1) - 6·a(n-2) + 4·a(n-3) - a(n-4) + a(n-5) with a(1) = 1, a(2) = 2, a(3) = 4, a(4) = 8, and a(5) = 15. A385107

Numbers with two representations as the sum of two Fibonacci numbers. A78642

a(n) = smallest nonnegative integer not yet in the sequence with no repeated digits and no digits in common with a(n-1), starting with a(0)=0. A276766