Properties of the Number 29688

Twenty-Nine Thousand Six Hundred Eighty-Eight

Basics

Value: 29687 → 29688 → 29689

Parity: even

Prime: No

Previous Prime: 29683

Next Prime: 29717

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 1237

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1237, 2474

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001111111000

Octal: 71770

Duodecimal: 15220

Hexadecimal: 73f8

Square: 881377344

Square Root: 172.30206034751876

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) = n⁴ + 4·n³ + 12·n² + 24·n + 24. A127878

Number of lines through at least 2 points of a 10 X n grid of points. A160850

Number of symmetrically unique Dyck paths of semilength n and height five. A291889

a(n) = T(9,n), array T given by A047858. A195857

Triangle read by rows. T(n, k) = A000326(n - k + 1) * T(n, k - 1) + T(n - 1, k) for 0 < k < n. T(n, 0) = 1 and T(n, n) = T(n, n - 1) if n > 0. A366138

Number of 5-ary rooted trees with n nodes and height at most 9. A36620

Numbers n with property that (n+1)*prime(n+1)-n·prime(n) is a perfect square s². A181283

Triangle read by rows: T(w,h) (for w >= h >= 1) is the number of distinct sets of rectangles with integer sides that tile the w X h rectangle. A349575

n-th digit after decimal point of 8th root of n. A29688

Primes for which -15 is a primitive root. A105887