Properties of the Number 29387

Twenty-Nine Thousand Three Hundred Eighty-Seven

Basics

Value: 29386 → 29387 → 29388

Parity: odd

Prime: Yes

Previous Prime: 29383

Next Prime: 29389

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 29387

Divisors: 1, 29387

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001011001011

Octal: 71313

Duodecimal: 1500B

Hexadecimal: 72cb

Square: 863595769

Square Root: 171.42636903347162

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 west neighbor modulo n and the upper left element equal to 0. A267629

Primes for which the period of the reciprocal equals (p-1)/14. A135073

Primes in which the digit string can be partitioned into three parts such that third (least significant) part is the product of the first two. A88294

Number of primitive (=aperiodic) ternary words with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A320087

Denominators of continued fraction convergents to sqrt(745). A42435

Primes p such that p+2, p+24 and p+246 are also primes. A235871

Number of nX4 arrays of permutations of 4 copies of 0..n-1 with every element equal to or 1 greater than any west neighbor modulo n and the upper left element equal to 0. A267627

Number of 5Xn arrays containing n copies of 0..5-1 with every element equal to or 1 greater than any west neighbor modulo 5 and the upper left element equal to 0. A267631

Expansion of g.f. 1/((1 - x⁵)*(1 - x⁶)*(1 - x⁹)*(1 - x¹⁰)). A29387