Properties of the Number 20429

Twenty Thousand Four Hundred Twenty-Nine

Basics

Value: 20428 → 20429 → 20430

Parity: odd

Prime: No

Previous Prime: 20411

Next Prime: 20431

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 31 × 659

Divisors: 1, 31, 659, 20429

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111111001101

Octal: 47715

Duodecimal: B9A5

Hexadecimal: 4fcd

Square: 417344041

Square Root: 142.9300528230505

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

a(n) is the number of prime powers k such that ceiling(log₂(k)) = n. A304521

G.f.: ∏_{k>=1, j>=1} (1+x^j·k²). A280451

Total number of parts greater than 1 in all partitions of n minus the number of partitions of n into parts each less than n. A198381

Triangle defined by g.f.: A(x,y) = exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n, k)ⁿ * y^k ), as read by rows. A209424

Conjectured record-breaking numbers of odd elements, for ascending positive integers k, in primitive cycles of positive integers under iteration by the Collatz-like 3x+k function. A226673

Least number k such that (n!+k)/n and (n!-k)/n are both prime. A245697

Column 2 of triangle A209424. A209425

Multiplicity of highest weight (or singular) vectors associated with character chi₁₃₈ of Monster module. A34526

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 22. A51963

Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6. A292