Properties of the Number 12900

Twelve Thousand Nine Hundred

Basics

Value: 12899 → 12900 → 12901

Parity: even

Prime: No

Previous Prime: 12899

Next Prime: 12907

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 5 ² × 43

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 11001001100100

Octal: 31144

Duodecimal: 7570

Hexadecimal: 3264

Square: 166410000

Square Root: 113.57816691600547

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

Neither the unsorted prime signature of a(n) nor the negated unsorted prime signature of a(n) is unimodal. A332643

T(n,k)=1/729 the number of (n+2)X(k+2) 0..2 arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace. A185891

a(n) = ∑_i=n..n+1 ∑_j=i+1..n+2 ∑_k=j+1..n+3 prime(i)*prime(j)*prime(k). A127349

a(n) = n*(n + 7)*(n + 14)/6. A264444

a(n)=4a(n-1)+C(n+3,3),n>0, a(0)=1. A97788

Number of triple-crossings of diagonals in the regular 2n-gon. A260417

Rewrite 0->100 in the binary expansion of n. A80303

Triangle read by rows: T(n,k) = number of peakless Motzkin paths of length n containing k U H^j Us for some j>0, where U=(1,1) and H=(1,0) (can be easily expressed using RNA secondary structure terminology). A97777

Triangle of numbers, called Y(1,3), related to generalized Catalan numbers A064063(n) = C(3;n). A116868

Number of partitions of n with odd crank. A124228