Properties of the Number 4458

Four Thousand Four Hundred Fifty-Eight

Basics

Value: 4457 → 4458 → 4459

Parity: even

Prime: No

Previous Prime: 4457

Next Prime: 4463

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 743

Divisors: 1, 2, 3, 6, 743, 1486, 2229, 4458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101101010

Octal: 10552

Duodecimal: 26B6

Hexadecimal: 116a

Square: 19873764

Square Root: 66.76825593049439

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

Number of integer partitions y of n such that y_i = y_i+1 for all even i. A351003

a(n) = 2·n² + n - 7. A100041

Triangle read by rows: T(n, k) = ∑_j=0..n binomial(-j-1, -n-1)*S1(j, k) where S1 are the Stirling cycle numbers A132393. A269953

Number of equivalence classes of S_n under transformations of positionally and numerically adjacent elements of the form abc <--> acb where a<b<c. A212580

Number of partitions of 2n into distinct parts < n. A231429

T(n,k)=Number of nXk 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally. A232941

T(n,k)=Number of nXk 0..1 arrays with every element both equal and not equal to some elements at offset (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. A278177

Triangle read by rows: T(n, k) = n! * 2^k * hypergeom([-k], [-n], -1/2). A374427

Lesser of two successive squarefree numbers whose product is not squarefree. A77395

Expansion of g.f.: ∏_n>=1 1/(1 - 3ⁿ*xⁿ)^3/3ⁿ. A110153