Properties of the Number 4785

Four Thousand Seven Hundred Eighty-Five

Basics

Value: 4784 → 4785 → 4786

Parity: odd

Prime: No

Previous Prime: 4783

Next Prime: 4787

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 11 × 29

Divisors: 1, 3, 5, 11, 15, 29, 33, 55, 87, 145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1001010110001

Octal: 11261

Duodecimal: 2929

Hexadecimal: 12b1

Square: 22896225

Square Root: 69.17369442208505

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

11-gonal (or hendecagonal) numbers: a(n) = n*(9·n-7)/2. A51682

Numbers k such that 10^k + 13 is prime. A95688

Generalized 21-gonal (or icosihenagonal) numbers: m*(19·m - 17)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303298

Number of ways to place non-intersecting diagonals in convex n-gon so as to create no triangles. A46736

Sizes of successive clusters in Z⁴ lattice. A46895

Numbers k such that σ(k) = σ(k+5). A15865

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -1,-1 1,0 -1,-2 -2,-2 or 0,1. A264676

Number T(n,k) of sets of nonempty words with a total of n letters over k-ary alphabet containing the k-th letter such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A293113

Number of compositions of n with all adjacent parts (x, y) satisfying x > 2y or y = 2x. A342336

G.f. satisfies: A(x) = 1 + x·A(x)²*A(x·A(x)²). A88717