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Properties of the Number 35241

Thirty-Five Thousand Two Hundred Forty-One

Basics

Value: 35240 → 35241 → 35242

Parity: odd

Prime: No

Previous Prime: 35227

Next Prime: 35251

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 691

Divisors: 1, 3, 17, 51, 691, 2073, 11747, 35241

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000100110101001

Octal: 104651

Duodecimal: 18489

Hexadecimal: 89a9

Square: 1241928081

Square Root: 187.725863961256

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

Number of permutations avoiding the consecutive pattern 35241. A202236
Number of permutations containing 3241 patterns only as part of 35241 patterns. A110447
Optimal ascending continued fraction expansion of sqrt(43) - 6. A228932
a(n) = floor(a(n-1)/(21/3-1)) with a(1)=1. A301483
Number of permutations in Sn that avoid the pattern 35241. A256201
Number of permutations in Sn avoiding 352{bar 4}1 (i.e., every occurrence of 3521 is contained in an occurrence of a 35241). A137534
Hertzsprung's problem: ways to arrange n non-attacking kings on an n X n board, with 1 in each row and column. Also number of permutations of length n without rising or falling successions. A2464
Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the generalized pattern 23-1; triangle T(n,k), n>=0, 0<=k<=A125811(n)-1, read by rows. A260670
Number of king permutations on n elements not beginning with the smallest element. A382644
Number of king permutations on n elements not beginning with the smallest element and not ending with the largest element. A382645