Properties of the Number 12004

Twelve Thousand Four

Basics

Value: 12003 → 12004 → 12005

Parity: even

Prime: No

Previous Prime: 11987

Next Prime: 12007

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 3001

Divisors: 1, 2, 4, 3001, 6002, 12004

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10111011100100

Octal: 27344

Duodecimal: 6B44

Hexadecimal: 2ee4

Square: 144096016

Square Root: 109.5627673984187

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

Numbers of the form i·7^j-1 (i=1..6, j >= 0). A181303

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the lower median minus the minimum of every 2X2 subblock. A236610

Number of partitions p of n such that median(p) < multiplicity(min(p)). A240212

Numbers k such that k⁶ == 1 (mod 7⁴). A56092

Irregular triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k white corners. A140711

Expansion of ∏_m>=1 (1 - m·q^m)⁴. A22664

G.f. = b(2)*b(4)*b(6)/(x⁸+x⁶-x⁵-x³-x+1), where b(k) = (1-x^k)/(1-x). A266333

Positive numbers k such that k and 2·k are anagrams in base 8 (written in base 8). A23073

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 58 ones. A31826

Numbers whose base-7 representation contains exactly four 6's. A43420