Properties of the Number 29477

Twenty-Nine Thousand Four Hundred Seventy-Seven

Basics

Value: 29476 → 29477 → 29478

Parity: odd

Prime: No

Previous Prime: 29473

Next Prime: 29483

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 7 × 4211

Divisors: 1, 7, 4211, 29477

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001100100101

Octal: 71445

Duodecimal: 15085

Hexadecimal: 7325

Square: 868893529

Square Root: 171.688671728801

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

Number of integer partitions of n with no part divisible by all the others. A343341

Numbers n such that n!8 + 2 is prime. A204663

Expansion of ∏_k>=1 ((1 + k·x^k) / (1 + x^k)). A268500

Number of compositions of n into parts with multiplicity not larger than 4. A243082

The number of partitions of n which represent Chomp positions with Sprague-Grundy value 9. A284782

a(n) = 3·a(n-3) + a(n-2), a(0)=3, a(1)=0, a(2)=2. A231101

G.f.: A(x) = ∑_n>=0 xⁿ*((1+x)ⁿ + sqrt(A(x)))ⁿ / (1 + x·sqrt(A(x))*(1+x)ⁿ)ⁿ⁺¹. A324963

Number of partitions p of n such that (number of numbers in p that have multiplicity 1) >= (number of numbers in p having multiplicity > 1). A330145

Numbers missing from A025429 (number of partitions of n into 5 nonzero squares). A243077

Number of ways to write 2·n as p + p' + 2^a + 2^b, where p and p' > p are consecutive primes, and a and b are positive integers with a <= b. A391109