Properties of the Number 55767

Fifty-Five Thousand Seven Hundred Sixty-Seven

Basics

Value: 55766 → 55767 → 55768

Parity: odd

Prime: No

Previous Prime: 55763

Next Prime: 55787

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 29 × 641

Divisors: 1, 3, 29, 87, 641, 1923, 18589, 55767

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101100111010111

Octal: 154727

Duodecimal: 28333

Hexadecimal: d9d7

Square: 3109958289

Square Root: 236.15037582015404

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(n) = 3·a(n-1) + 10·a(n-2). A15528

Irregular table whose rows list the nontrivial cycles of the ghost iteration A329201, starting with the smallest member. A329342

a(n) = ∑_k=1..n (-1)^k-1 * binomial(floor(n/k)+3,4). A366659

Pisot sequence E(4,27): a(n) = floor(a(n-1)²/a(n-2)+1/2) for n>1, a(0)=4, a(1)=27. A10910

Number of ways a black pawn (from any starting square on the second back rank) can (theoretically) end on the n-th square of the leftmost file counted from the back rank. A62106

Length of nontrivial cycles under the ghost iteration A329201, as listed in the table A329342. A329341

Index (or subscript) k of the largest primorial A002110(k) that divides the Euler φ of the n-th primorial (A005867(n)). A55767