Properties of the Number 429

Four Hundred Twenty-Nine

Basics

Value: 428 → 429 → 430

Parity: odd

Prime: No

Previous Prime: 421

Next Prime: 431

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 13

Divisors: 1, 3, 11, 13, 33, 39, 143, 429

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101101

Octal: 655

Duodecimal: 2B9

Hexadecimal: 1ad

Square: 184041

Square Root: 20.71231517720798

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

Catalan numbers: C(n) = binomial(2n,n)/(n+1) = (2n)!/(n!(n+1)!). A108

The squarefree numbers ordered lexicographically by their prime factorization (with factors written in decreasing order). a(n) = ∏_{k in I} prime(k+1), where I is the set of indices of nonzero binary digits in n = ∑_{k in I} 2^k. A19565

Sphenic numbers: products of 3 distinct primes. A7304

Triangle formed from even-numbered columns of triangle of expansions of powers of·in terms of Chebyshev polynomials U_n(x). A39599

Catalan's triangle T(n,k) (read by rows): each term is the sum of the entries above and to the left, i.e., T(n,k) = ∑_j=0..k T(n-1,j). A9766

Catalan triangle A009766 transposed. A33184

Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutation A089864. A89408

Numerators in expansion of 1/sqrt(1-x). A1790

Multiples of 11. A8593

Triangle T(n,k) of number of rooted trees with n nodes and k leaves, 1 <= k <= n. A55277