Properties of the Number 57585

Fifty-Seven Thousand Five Hundred Eighty-Five

Basics

Value: 57584 → 57585 → 57586

Parity: odd

Prime: No

Previous Prime: 57571

Next Prime: 57587

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 349

Divisors: 1, 3, 5, 11, 15, 33, 55, 165, 349, 1047

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000011110001

Octal: 160361

Duodecimal: 293A9

Hexadecimal: e0f1

Square: 3316032225

Square Root: 239.96874796522985

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 length n+4 0..k arrays with some pair in every consecutive five terms totalling exactly k. A246892

Triangle T(n,k), 0<=k<=n, read by rows, given by [1, 2, 2, 4, 3, 6, 4, 8, 5, 10, 6, 12, . . . ] δ [2, 1, 4, 2, 6, 3, 8, 4, 10, 5, 12, 6, . . . ] where δ is the operator defined in A084938. A108694

a(n) = 256·n² - n. A158010

a(n) = 225·n² - 15. A158559

Number of length n+4 0..4 arrays with some pair in every consecutive five terms totalling exactly 4. A246888

Number of length 3+4 0..n arrays with some pair in every consecutive five terms totalling exactly n. A246895

Area under Motzkin excursions. A57585

1/4 the number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having one, three or four distinct clockwise edge differences. A210150

Number of n X 5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1's. A297503