Properties of the Number 55660

Fifty-Five Thousand Six Hundred Sixty

Basics

Value: 55659 → 55660 → 55661

Parity: even

Prime: No

Previous Prime: 55639

Next Prime: 55661

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 11 ² × 23

Divisors: 1, 2, 4, 5, 10, 11, 20, 22, 23, 44

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100101101100

Octal: 154554

Duodecimal: 28264

Hexadecimal: d96c

Square: 3098035600

Square Root: 235.92371648479937

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

Numbers k such that k² divides 3^k-1. A127103

G.f. A(x) satisfies A(x) = 1 + x⁴*A(x)⁴*(1 + x·A(x)). A365730

Numbers k such that 3^k mod k = 3^k mod k². A125774

Positions of 4's in A347381. A347394

Consider a decimal number of k>=2 digits x = d_k*10^k-1 + d_k-1*10^k-2 + ... + d₂*10 + d₁ and the transform T(x)-> (d_k+d_k-1 mod 10)*10^k-1 + (d_k-1+d_k-2 mod 10)*10^k-2 + ... + (d₂+d₁ mod 10)*10 + (d₁+d(k) mod 10). Sequence lists the numbers·such that T(x) divides x. A244286

a(n) = (prime(n) - 7)² * (4·prime(n) - 1). A245035

a(n) = 27*(n - 6)² + 4*(n - 6)³ = ((n - 6)²)*(4·n + 3). A245032

Number of length n+7 0..3 arrays with at most one downstep in every 7 consecutive neighbor pairs. A258729

Number of length n+4 0..3 arrays with at most one downstep in every n consecutive neighbor pairs. A258734

Numbers n such that 99·2ⁿ-1 is prime. A50575