Properties of the Number 13997

Thirteen Thousand Nine Hundred Ninety-Seven

Basics

Value: 13996 → 13997 → 13998

Parity: odd

Prime: Yes

Previous Prime: 13967

Next Prime: 13999

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 13997

Divisors: 1, 13997

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010101101

Octal: 33255

Duodecimal: 8125

Hexadecimal: 36ad

Square: 195916009

Square Root: 118.30891766895681

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

Larger of two consecutive prime numbers, p1 and p2 = p1 + d, such that p1·p2·d - d is the average of twin primes. A153379

Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes. A35790

Lesser of twin primes whose average is 6 times a prime. A60213

Primes p such that p's set of distinct digits is {1,3,7,9}. A108386

Primes p such that exactly four numbers among all circular permutations of the digits of p are prime. A344628

T(n,k) = 1/k! * ∑_i=0..k (-1)^k-i *C(k,i) * A258219(n,i); triangle T(n,k), n>=0, 0<=k<=n, read by rows. A258220

Primes which satisfy the requirements of A380943 in more than one way. A383810

Prime quartet leaders: largest number of a prime quartet. A119892

Primes which satisfy the requirements of A380943 in exactly two ways. A383811

Primes with 2 representations: p·q*r - 1 = u·v*w + 1 where p, q, r, u, v and w are primes. A63644