Properties of the Number 55706

Fifty-Five Thousand Seven Hundred Six

Basics

Value: 55705 → 55706 → 55707

Parity: even

Prime: No

Previous Prime: 55697

Next Prime: 55711

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 23 × 173

Divisors: 1, 2, 7, 14, 23, 46, 161, 173, 322, 346

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100110011010

Octal: 154632

Duodecimal: 282A2

Hexadecimal: d99a

Square: 3103158436

Square Root: 236.0211854897776

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

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s. A297654

Numbers k such that A003313(k) = A003313(5·k). A116460

Number of ternary rooted trees with n nodes and height at most 5. A36373

Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s. A297649

Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s. A297659

Multiplicity of highest weight (or singular) vectors associated with character chi₁₅₉ of Monster module. A34547

Numbers n such that n | sigma₁₂(n) + φ(n)¹². A55706