Properties of the Number 55307

Fifty-Five Thousand Three Hundred Seven

Basics

Value: 55306 → 55307 → 55308

Parity: odd

Prime: No

Previous Prime: 55291

Next Prime: 55313

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 7901

Divisors: 1, 7, 7901, 55307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100000001011

Octal: 154013

Duodecimal: 2800B

Hexadecimal: d80b

Square: 3058864249

Square Root: 235.17440336907416

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(1) = 1, a(n+1) = numerator of the continued fraction [1; 2, 4, 8, ..., 2ⁿ]. A61377

a(n) = numerator of the continued fraction which has the positive divisors of n as its terms. A127611

a(n) = 2ⁿ * exp(-1/2) * ∑_k>=0 (k + 2)ⁿ / (2^k * k!). A337011

Elements of A005282 that are also the sum of a pair of not necessarily distinct elements of A005282. A133604

Decimal part of cube root of a(n) starts with 1: first term of runs. A34127

a(n) is the permanent of the 2n+1 X 2n+1 matrix P(2n+1) defined by P[1,j] = 1, P[i,j] = i-1 if i<=j, and P[i,i] = i-n-1 otherwise with 1 <= i,j <= 2n+1. A371153

Number of labeled rooted trees with n nodes and 6 leaves. A55307