Properties of the Number 13147

Thirteen Thousand One Hundred Forty-Seven

Basics

Value: 13146 → 13147 → 13148

Parity: odd

Prime: Yes

Previous Prime: 13127

Next Prime: 13151

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13147

Divisors: 1, 13147

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001101011011

Octal: 31533

Duodecimal: 7737

Hexadecimal: 335b

Square: 172843609

Square Root: 114.66036804406308

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 subsets of {1...n} containing all prime indices of the elements. A324736

Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)² - s(n) + 1, s(0) = 2. A7996

Numbers k such that k² contains exactly 9 different digits. A54037

T(n,k)=Number of length n+5 0..k arrays with some three disjoint pairs in each consecutive six terms having the same sum. A248489

Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order). A234692

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two horizontal or vertical neighbors, with new values 0..1 introduced in row major order. A240484

a(1) = 1; set of digits of a(n)² is a subset of the set of digits of a(n+1)². A66825

Primes that are the first in a run of exactly 4 emirps. A346024

Primes for which the period of the reciprocal equals (p-1)/14. A135073

5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1. A192823