Properties of the Number 14457

Fourteen Thousand Four Hundred Fifty-Seven

Basics

Value: 14456 → 14457 → 14458

Parity: odd

Prime: No

Previous Prime: 14449

Next Prime: 14461

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 61 × 79

Divisors: 1, 3, 61, 79, 183, 237, 4819, 14457

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100001111001

Octal: 34171

Duodecimal: 8449

Hexadecimal: 3879

Square: 209004849

Square Root: 120.23726543796644

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 superdiagonal partitions: partitions (p1, p2, p3, ...) of n such that π >= i. A238873

Number of integer compositions of n whose first differences are not all distinct. A389743

Take the first n digits on the binary Champernowne string (cf. A030302); a(n) gives the starting index of the second occurrence of this n-digit string within the binary Champernowne string. A351753

G.f.: A(x) = exp( ∑_n>=1 σ(n)*xⁿ/(1+xⁿ) /n ). A158441

Alternating row sums of the Eulerian zig-zag number triangle A205497. A373388

a(1) = 1, a(n) = n+a(n-1) if n does not divide a(n-1), else a(n) = n·a(n-1). A95234

Row sums of irregular triangle A381587. A381358

a(n) = floor(n*(n-1)*(n-2)*(n-3)/21). A11931

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 80. A31578

Determinant of an n X n matrix whose diagonal are the first n composite numbers and all other elements are 1's. A67545