Properties of the Number 12448

Twelve Thousand Four Hundred Forty-Eight

Basics

Value: 12447 → 12448 → 12449

Parity: even

Prime: No

Previous Prime: 12437

Next Prime: 12451

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁵ × 389

Divisors: 1, 2, 4, 8, 16, 32, 389, 778, 1556, 3112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000010100000

Octal: 30240

Duodecimal: 7254

Hexadecimal: 30a0

Square: 154952704

Square Root: 111.57060544785082

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

Total length of longest runs of 1's in all bitstrings of length n. A119706

Triangle T(n,k) = ∑_j=0..k Stirling1(n, n-j)*binomial(n,j) + ∑_j=0..n-k Stirling1(n, n-j)*binomial(n,j), read by rows. A176154

Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape U; triangle T(n,k), n>=0, read by rows. A247708

E.g.f. C(x,y) = cos(y) / sqrt(1 - sin(x)² - sin(y)²). A324609

E.g.f. C(y,x) = cos(x) / sqrt(1 - sin(x)² - sin(y)²). A324611

∏_n>=1 1 / (1 - a(n)*xⁿ) = 1 + ∑_n>=1 μ(n)*xⁿ, where μ = A008683. A353949

Number of rooted regular combinatorial maps with n edges. A380625

a(0)=1; thereafter a(n)=a(n-1)+a([n/φ]), where φ=(1+sqrt(5))/2, the golden ratio. A131882

Number of (w,x,y,z) with all terms in {1,...,n} and w <= (geometric mean of x,y,z). A212143

CATS sequence: cube-add-then-sort variation of RATS (reverse, add then sort) sequence. A79320