Properties of the Number 29693

Twenty-Nine Thousand Six Hundred Ninety-Three

Basics

Value: 29692 → 29693 → 29694

Parity: odd

Prime: No

Previous Prime: 29683

Next Prime: 29717

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 23 × 1291

Divisors: 1, 23, 1291, 29693

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001111111101

Octal: 71775

Duodecimal: 15225

Hexadecimal: 73fd

Square: 881674249

Square Root: 172.31656913947654

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

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0. A267019

Nonnegative walks of length n on the x-axis starting at the origin using steps {1,-1} and visiting no point more than twice. A212584

a(n) = (A085249(n) - 1)/6. A88349

Number of 3Xn arrays containing n copies of 0..3-1 with no element 1 greater than its northwest or northeast neighbor modulo 3 and the upper left element equal to 0. A266682

G.f. A(x) = ∑_n>=0 a(n)*xⁿ satisfies: [∑_n>=0 xⁿ/(1 - xⁿ⁺¹)]⁴ = ∑_n>=0 a(n)*xⁿ/(1 - xⁿ⁺¹)⁴. A341375

a(n) = n·2¹⁰ - 3. A362361

Sequence of semiprimes with all cumulating sums being semiprime. A254325

Variation of Stechkin's function, A055004. A62827

Numbers k such that k⁸*2^k - 1 is a prime. A367572

n-th binary digit in fractional part of cube root of n. A29693