Properties of the Number 29729

Twenty-Nine Thousand Seven Hundred Twenty-Nine

Basics

Value: 29728 → 29729 → 29730

Parity: odd

Prime: No

Previous Prime: 29723

Next Prime: 29741

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 × 31 × 137

Divisors: 1, 7, 31, 137, 217, 959, 4247, 29729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000100001

Octal: 72041

Duodecimal: 15255

Hexadecimal: 7421

Square: 883813441

Square Root: 172.4209964012504

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, Xⁿ * [1,0,0,0,...]; where X = a tridiagonal matrix with (1,2,3,...) in the main diagonal and (1,1,1,...) in the sub and subsubdiagonals. A140735

a(n) = n³ - 2·n. A242135

Expansion of 1/(1-31·x+x²). A200442

Denominators of continued fraction convergents to sqrt(957). A42853

Expansion of (1-x)^-1/(1-x²+2·x³). A77884

A symmetrical triangle of leading ones adjusted polynomial coefficients based on Hermite orthogonal polynomials: t(n,m)=CoefficientList[HermiteH[n, x], x][[m + 1]] + Reverse[CoefficientList[ HermiteH[n, x], x]][[m + 1]] - (CoefficientList[HermiteH[n, x], x][[1]] + Reverse[CoefficientList[HermiteH[n, x], x]][[1]]) + 1. A176411

Let sequence B_n={b_m} be defined by: b₁=prime(n), b₂=prime(n+1); for m>=3, b_m=b_m-2+b_m-1 if b_m-2+b_m-1 is not semiprime, otherwise b_m is the least prime divisor of b_m-2+b_m-1. Then a(n) is the maximal term of sequence B_n, or a(n)=0 if B_n is unbounded. A221218

Degree of the variety of pairs of commuting n X n matrices. A29729