Properties of the Number 12397

Twelve Thousand Three Hundred Ninety-Seven

Basics

Value: 12396 → 12397 → 12398

Parity: odd

Prime: No

Previous Prime: 12391

Next Prime: 12401

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 11 × 23

Divisors: 1, 7, 11, 23, 49, 77, 161, 253, 539, 1127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000001101101

Octal: 30155

Duodecimal: 7211

Hexadecimal: 306d

Square: 153685609

Square Root: 111.34181604410807

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

a(n) = n*(n+1)*(n+2)*(n+7)/24. A5582

T(n,k)=Half the number of nXk binary arrays with no 1 having an adjacent 1 both above and to its left. A184761

a(n) = (∏_i=1..n iⁱ) / denominator( ∑_j=1..n j*(j+1)/2 / (∏_k=0..j-1 j!/k!) ). A105658

Numbers k such that gcd(3k,8^k+1) = 3 but k does not divide the numerator of B(2k) (the Bernoulli numbers). A70193

Greatest number having exactly n representations as ab+ac+bc with 0 < a < b < c. A94377

Numbers k at which point A336459(k) appears multiplicative, but A051027(k) does not. A336561

Numbers k such that (10^k-1)/9 + 4·10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime). A77783

a(n) is the smallest integer m such that A039995(m)=n. A94535

Number of nonempty subsets of {1,2,...,n} with no gap of length greater than 4 (a set S has a gap of length d if a and b are in S but no·with a < x < b is in S, where b-a=d). A119407

Number of pairs of parallel diagonals in a regular n-gon. A211379