Properties of the Number 57035

Fifty-Seven Thousand Thirty-Five

Basics

Value: 57034 → 57035 → 57036

Parity: odd

Prime: No

Previous Prime: 56999

Next Prime: 57037

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 11 × 17 × 61

Divisors: 1, 5, 11, 17, 55, 61, 85, 187, 305, 671

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101111011001011

Octal: 157313

Duodecimal: 2900B

Hexadecimal: decb

Square: 3252991225

Square Root: 238.82001591156467

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

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n, having k long ascents (i.e., ascents of length at least 2). Rows are of length 1,1,2,2,3,3,... . A91156

Non-palindromic numbers n such that φ(n) = φ(reversal(n)). A97647

Triangle read by rows: a(n,k) = number of permutations in S_n which avoid the pattern 123 and have exactly k descents. A166073

Number of permutations of [n] with exactly six (possibly overlapping) occurrences of the consecutive pattern 3412. A264325

Triangle read by rows: T(n,k) is the number of 2-Motzkin paths (i.e., Motzkin paths with blue and red level steps) without red level steps on the x-axis, having length n and k level steps (0 <= k <= n). A126222

Numbers n such that n = p + q with n·p*q = primorial number (A002110) (p <= q, p > 0, q > 0). A57035