Properties of the Number 26729

Twenty-Six Thousand Seven Hundred Twenty-Nine

Basics

Value: 26728 → 26729 → 26730

Parity: odd

Prime: Yes

Previous Prime: 26723

Next Prime: 26731

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 26729

Divisors: 1, 26729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100001101001

Octal: 64151

Duodecimal: 13575

Hexadecimal: 6869

Square: 714439441

Square Root: 163.4900608599801

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

Primes of the form 26k+1 generated recursively. Initial prime is 53. General term is a(n) = Min {p is prime; p divides (R¹³ - 1)/(R - 1); p == 1 (mod 13)}, where Q is the product of previous terms in the sequence and R = 13·Q. A125037

Number of convex polygons of length 2n on square lattice whose leftmost bottom vertex and rightmost top vertex have the same x-coordinate. A5770

T(n, 2·n-4), T given by A027960. A27966

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²<=x²+y². A211634

a(n) = A212392(n) / n. A212391

Primes p such that 11 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248). A80187

Primes p such that p+2 and q are primes, where q is concatenation of binary representations of p and p+2: q = p·2^L + p+2, where L is the length of binary representation of p+2: L=A070939(p+2). A232238

Primes of the form 2·n²+86·n+41. A243958

Primes of the form k+(k+3)² where k is a nonnegative integer. A248697

Partial sums of A009927. A265038