Properties of the Number 4258

Four Thousand Two Hundred Fifty-Eight

Basics

Value: 4257 → 4258 → 4259

Parity: even

Prime: No

Previous Prime: 4253

Next Prime: 4259

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 2129

Divisors: 1, 2, 2129, 4258

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010100010

Octal: 10242

Duodecimal: 256A

Hexadecimal: 10a2

Square: 18130564

Square Root: 65.25335240430181

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

a(n) = 4·n² - 3·n + 1. A54552

Numbers k such that k¹²⁸ + 1 is prime. A56994

Number of integer partitions of n whose negated run-lengths are not unimodal. A332639

Pascal-(1,2,1) array read by antidiagonals. A81577

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250797

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

Positive integers n such that n¹¹ + 1 is semiprime. A105122

G.f.: exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n², n·k) ). A167006

T(n,k) = Number of n X k arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random 0..1 n X k array. A218064

Number of 4 X n binary matrices without unit columns up to row and column permutations. A57223