Properties of the Number 29828

Twenty-Nine Thousand Eight Hundred Twenty-Eight

Basics

Value: 29827 → 29828 → 29829

Parity: even

Prime: No

Previous Prime: 29819

Next Prime: 29833

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 7457

Divisors: 1, 2, 4, 7457, 14914, 29828

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010000100

Octal: 72204

Duodecimal: 15318

Hexadecimal: 7484

Square: 889709584

Square Root: 172.70784579746226

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

n/2 analog of Keith numbers. A282766

Triangle read by rows. Number T(n, k) of partitions of the multiset [1, 1, 1, 1, 2, 2, 2, 2, ..., n, n, n, n] into k nonempty subsets, for 4 <= k <= 4n. A360038

Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A127387. A127385

Eisenstein series E₁₂(q) (alternate convention E₆(q)), multiplied by 691. A29828

G.f. satisfies: A(x,y) = 1 + ∑_n>=1 xⁿ*y·A(x,y)ⁿ/(1 - y·A(x,y)^2·n), where A(x,y) = 1 + ∑_n>=1,k>=1 T(n,k)*xⁿ*y^k; here the coefficients T(n,k) form a square array and are read by antidiagonals. A192404

Number of (n+2)X5 binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals. A202893

Number of nX5 0..1 arrays with every element unequal to 2, 3 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A317899