Properties of the Number 54209

Fifty-Four Thousand Two Hundred Nine

Basics

Value: 54208 → 54209 → 54210

Parity: odd

Prime: No

Previous Prime: 54193

Next Prime: 54217

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 151 × 359

Divisors: 1, 151, 359, 54209

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001111000001

Octal: 151701

Duodecimal: 27455

Hexadecimal: d3c1

Square: 2938615681

Square Root: 232.8282628891948

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

Alternated binomial partial sums of central Lah numbers (A187535). A187539

a(n) = prime(n) * prime(2n). A319613

G.f.: 1 + ∑_n>=1 a(n)*xⁿ/(1 - xⁿ) = ∏_n>=1 (1 + n·xⁿ). A300278

Numerators of the convergents in the continued fraction expansion for the constant given by A100338, where the partial quotients equal A006519 (greatest power of 2 dividing n). A100340

Denominators of the convergents in the continued fraction expansion for the constant given by A100338, where the partial quotients equal A006519 (greatest power of 2 dividing n). A100341

Numerators of the convergents in the continued fraction expansion for twice the constant given by A100338, where the partial quotients equal A006519 (greatest power of 2 dividing n) interleaved with 2's. A100342

Denominators of the convergents in the continued fraction expansion for twice the constant given by A100338, where the partial quotients equal A006519 (greatest power of 2 dividing n) interleaved with 2's. A100343

Brilliant numbers k such that 2k+1 is also brilliant. A85649

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 11110-01111 pattern in any orientation. A147511

Consider all integer triples (i,j,k), j >= k>0, with i³=binomial(j+2,3)+binomial(k+2,3), ordered by increasing i; sequence gives j values. A54209