Properties of the Number 29713

Twenty-Nine Thousand Seven Hundred Thirteen

Basics

Value: 29712 → 29713 → 29714

Parity: odd

Prime: No

Previous Prime: 29683

Next Prime: 29717

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 43 × 691

Divisors: 1, 43, 691, 29713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000010001

Octal: 72021

Duodecimal: 15241

Hexadecimal: 7411

Square: 882862369

Square Root: 172.3745920952389

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

Type I Minkowski-Siegel mass constants (numerators). A241121

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) < number of parts of p. A241828

Number of partitions of n with rank congruent to 1 mod 3. A328989

Pierce expansion of log(2). A91846

Number of n X 5 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280437

Numbers k such that k, k+1, k+2, k+3 have 2, 3, 4, 5 prime factors respectively, counted with multiplicity. A363391

Squarefree semiprimes k such that k+1 is the product of three distinct primes and k+2 is the product of four distinct primes. A376352

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A280440

θ series of 6-dimensional 8-modular lattice of minimal norm 4. A29713