Properties of the Number 29097

Twenty-Nine Thousand Ninety-Seven

Basics

Value: 29096 → 29097 → 29098

Parity: odd

Prime: No

Previous Prime: 29077

Next Prime: 29101

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 53 × 61

Divisors: 1, 3, 9, 53, 61, 159, 183, 477, 549, 3233

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000110101001

Octal: 70651

Duodecimal: 14A09

Hexadecimal: 71a9

Square: 846635409

Square Root: 170.57842770995398

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

Numbers n such that φ(n) = φ(n+12) and n is not divisible by 2. A217141

a(1) = 1, a(n) = a(n-1) + φ(a(n-1)). A74693

Number of excursions of length n with Motzkin-steps avoiding the consecutive steps UD, HU, HH and DH. A329691

Expansion of ∏_k>=1 (1 - x^7·k)⁵²/(1 - x^k)⁵³ in powers of x. A282931

Number of rises in all compositions of n with parts in {1,2,3} and adjacent differences in {-1,1}. A383549

Expansion of 1/((1-x)*(1-x⁵)*(1-x⁸)*(1-x¹⁰)). A29097