Properties of the Number 13723

Thirteen Thousand Seven Hundred Twenty-Three

Basics

Value: 13722 → 13723 → 13724

Parity: odd

Prime: Yes

Previous Prime: 13721

Next Prime: 13729

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13723

Divisors: 1, 13723

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010110011011

Octal: 32633

Duodecimal: 7B37

Hexadecimal: 359b

Square: 188320729

Square Root: 117.14520903562382

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

Number of partitions of n for which 2*(number of distinct parts) <= (number of parts). A237363

a(n) = ∑_{k=0..floor(n/4)} 2^k * binomial(2·n-6·k+1,2·k). A387626

Primes p such that 6p + 1 and (p-1)/6 are primes. A85957

Primes for which the weight as defined in A117078 is 11 and the gap as defined in A001223 is 6. A119597

Primes of form 5+38·n². A173554

Consider all integer triples (i,j,k), j,k>0, with i³=j³+binomial(k+2,3), ordered by increasing i; sequence gives i values. A54234

Expansion of ∏_k>=1 (1 + x^5·k-4)^5·k-4. A285338

Primes with seven embedded primes. A179915

n is in the sequence if n is prime, (n-1)/3^A007949(n-1) is a squarefree number, A007949(n-1) < 3 and every prime divisor of n-1 is in the sequence. A229290

A290865(n) -(n-1). A290876