Properties of the Number 4678

Four Thousand Six Hundred Seventy-Eight

Basics

Value: 4677 → 4678 → 4679

Parity: even

Prime: No

Previous Prime: 4673

Next Prime: 4679

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 2339

Divisors: 1, 2, 2339, 4678

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001000110

Octal: 11106

Duodecimal: 285A

Hexadecimal: 1246

Square: 21883684

Square Root: 68.39590631024637

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

Numbers k such that for any positive integers (a, b), if a·b = k then a + b is prime. A80715

Numbers k such that 4·k! - 1 is prime. A99350

Preperiod (or threshold) of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ. A292090

Numbers k such that A276086(A003415(k)) <= k and the least prime not dividing A003415(k) is equal to the least prime dividing k, where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function. A392868

a(n) = p(n)*p(n+2) - 3·p(n+1), where p(n) is the n-th prime. A152528

Number of (undirected) Hamiltonian paths in the 3 X n king graph. A339761

Number of (undirected) Hamiltonian paths in the 4 X n king graph. A339762

Array read by antidiagonals: T(m,n) is the number of (undirected) Hamiltonian paths in the m X n king graph. A350729

Numbers k such that φ(k) + 2 | σ(k + 2). A15781

a(2·k-1) = (2·k-1)² + 2 - k, a(2·k) = 6·k² + 2 - k: First column of the triangle A093915. A93916