Properties of the Number 4257

Four Thousand Two Hundred Fifty-Seven

Basics

Value: 4256 → 4257 → 4258

Parity: odd

Prime: No

Previous Prime: 4253

Next Prime: 4259

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 43

Divisors: 1, 3, 9, 11, 33, 43, 99, 129, 387, 473

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010100001

Octal: 10241

Duodecimal: 2569

Hexadecimal: 10a1

Square: 18122049

Square Root: 65.24568951279464

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

10-gonal (or decagonal) numbers: a(n) = n*(4·n-3). A1107

First spoke of a hexagonal spiral. A56105

Generalized 27-gonal (or icosiheptagonal) numbers: m*(25·m - 23)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A316725

Total number of triangles visible in regular n-gon with all diagonals drawn. A6600

Numbers that are palindromic in bases 2 and 6. A182233

a(1)=0; thereafter, a(n) is the smallest number such that the addition table for (a(1),...,a(n)) contains n*(n+1)/2 different entries, and the multiplication table for (a(2),...,a(n)) contains n*(n-1)/2 different nonzero entries (the maximum possible in both cases). A337656

Sum of the cubes of the odd proper divisors of n. A352031

A statistic on orbital systems over n sectors: the number of orbitals with k restarts. A274880

Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition. A57949

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728