Properties of the Number 29077

Twenty-Nine Thousand Seventy-Seven

Basics

Value: 29076 → 29077 → 29078

Parity: odd

Prime: Yes

Previous Prime: 29063

Next Prime: 29101

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 29077

Divisors: 1, 29077

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000110010101

Octal: 70625

Duodecimal: 149B1

Hexadecimal: 7195

Square: 845471929

Square Root: 170.51979357247652

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) = ∑_k=3..n binomial(k,3) * floor(n/k). A366971

Number of partitions of n such that (maximal multiplicity of parts) > (multiplicity of the maximal part). A240302

Number of distinct fountains of n coins. A288006

Numbers k such that 65^k - 64^k is prime. A62631

Primes that can be generated by the concatenation in base 6, in descending order, of two consecutive integers read in base 10. A287307

Expansion of 1/((1-x)*(1-x⁴)*(1-x⁷)*(1-x¹²)). A29077

Number of ways to write n as x + y with 0 < x <= y such that x³ + n·y² is prime. A305502