Properties of the Number 13841

Thirteen Thousand Eight Hundred Forty-One

Basics

Value: 13840 → 13841 → 13842

Parity: odd

Prime: Yes

Previous Prime: 13831

Next Prime: 13859

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13841

Divisors: 1, 13841

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000010001

Octal: 33021

Duodecimal: 8015

Hexadecimal: 3611

Square: 191573281

Square Root: 117.64777940955791

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 from merging of 5 successive digits in decimal expansion of π. A104825

Balanced primes of order seven. A96699

Primes for which the weight as defined in A117078 is 23. A119504

E.g.f.: exp(∑_n>=1 sigma₂(n) * xⁿ). A294362

Middle of 3 consecutive prime numbers such that p1·p2·p3+d1+d2+1=average of twin prime pairs, d1(δ)=p2-p1,d2(δ)=p3-p2. A153407

Primes p such that (p³² + 1)/2 is prime. A341224

Prime numbers n such that n = p1³ + p2³ + p3³, a sum of cubes of 3 distinct prime numbers. A137365

First term of strong prime quintets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3). A54808

Numbers which are the sum of 3 cubes of distinct odd primes. A138853

Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes. A156116