Properties of the Number 29384

Twenty-Nine Thousand Three Hundred Eighty-Four

Basics

Value: 29383 → 29384 → 29385

Parity: even

Prime: No

Previous Prime: 29383

Next Prime: 29387

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 3673

Divisors: 1, 2, 4, 8, 3673, 7346, 14692, 29384

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011001000

Octal: 71310

Duodecimal: 15008

Hexadecimal: 72c8

Square: 863419456

Square Root: 171.41761869772895

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

Expansion of (χ(-q³)/ χ³(-q) -1)/3 in powers of q where χ() is a Ramanujan θ function. A128129

Expansion of q^-2/3 * (ψ(-q³) / ψ(-q)³) * (c(q²) / 3) in powers of q where ψ() is a Ramanujan θ function and c() is a cubic AGM θ function. A132978

Expansion of q·f(q⁹)³ * φ(q) / (f(q³) * φ(q³)³) in powers of q where f(), φ() are Ramanujan θ functions. A164269

Expansion of f(x³)³ * φ(x³) / (f(x) * φ(x)³) in powers of·where f(), φ() are Ramanujan θ functions. A164270

Numerators of the convergents to log₂(5). A116985

Expansion of c(q) * c(q⁶) / c(q²)² in powers of q where c() is a cubic AGM θ function. A122830

Numbers k such that 297·2^k-1 is prime. A50907

Number of nondecreasing arrangements of n numbers in -4..4 with sum zero and sum of squares not greater than n·20/3. A183922

Number of nondecreasing arrangements of n numbers in -4..4 with sum zero and sum of squares less than n·20/3. A183930

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 0, 1), (0, 1, 0), (1, -1, 0), (1, 1, -1)}. A150220