Properties of the Number 29718

Twenty-Nine Thousand Seven Hundred Eighteen

Basics

Value: 29717 → 29718 → 29719

Parity: even

Prime: No

Previous Prime: 29717

Next Prime: 29723

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 13 × 127

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 39, 78

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111010000010110

Octal: 72026

Duodecimal: 15246

Hexadecimal: 7416

Square: 883159524

Square Root: 172.3890947827037

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

Reversion of y - y² - y⁵. A63021

Solution to a Pellian equation: least·such that x² - n·y² = +- 1. A6702

a(n) is smallest natural number a satisfying Pell equation a² - d(n)*b²= +1 or = -1, with d(n)=A000037(n) (a nonsquare). Corresponding smallest b(n)=A077233(n). A77232

Let p(n) be the n-th prime congruent to 1 mod 4. Then a(n) = the least m for which m²+1=p(n)*k² has a solution. A94048

Chapman's "evil" determinants I. A179071

a(n) = n*(n² + 3)/2. A229183

Number of partitions of n whose greatest part is a multiple of 3. A363045

First member of a pair of numbers occurring in the definition of 1-happy couples. A191860

Smallest integer·satisfying the Pell equation x²-k·y²=-1 for the values of k given in A031396. A130226

Bases b for which there exists an integer y such that y³ in base b looks like [c,d,c,d] for some base-b digits c, d. A290176