Properties of the Number 3729

Three Thousand Seven Hundred Twenty-Nine

Basics

Value: 3728 → 3729 → 3730

Parity: odd

Prime: No

Previous Prime: 3727

Next Prime: 3733

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 113

Divisors: 1, 3, 11, 33, 113, 339, 1243, 3729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010001

Octal: 7221

Duodecimal: 21A9

Hexadecimal: e91

Square: 13905441

Square Root: 61.065538563088104

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

9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7·n-5)/2. A1106

Toothpick sequence on hexagonal net. A182840

Number of integer partitions of n such that every permutation has all distinct runs. A351204

Numbers k such that k and k+1 are both base φ Niven numbers (A334308). A334309

Number A(n,k) of sets of nonempty words with a total of n letters over k-ary alphabet; square array A(n,k), n>=0, k>=0, read by antidiagonals. A292804

Number of integer partitions of n with (1) as many odd parts as odd conjugate parts and (2) as many even parts as even conjugate parts. A351976

a(n) is the first of a triple of consecutive integers, each of which is the product of three distinct primes. A66509

Numbers n such that p(2n) is prime, where p(n) is the number of partitions of n. A114165

G.f.: ∏_j>=1 (1+x^j)^{3^j}. A256142

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A283634