Properties of the Number 12027

Twelve Thousand Twenty-Seven

Basics

Value: 12026 → 12027 → 12028

Parity: odd

Prime: No

Previous Prime: 12011

Next Prime: 12037

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 19 × 211

Divisors: 1, 3, 19, 57, 211, 633, 4009, 12027

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011111011

Octal: 27373

Duodecimal: 6B63

Hexadecimal: 2efb

Square: 144648729

Square Root: 109.66767983321249

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 1: bits 0-6 refer to segments from top to bottom, left to right. A234691

Total area between the free polyominoes with n cells and their bounding boxes. A379628

Integers i > 1 for which there is no prime p such that i is a solution mod p of x⁴ = 2. A65903

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2. A214359

a(n) = 9·n² - 8·n + 2. A154254

a(n) = n*(17·n - 13)/2. A180232

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 7, n >= 2. A214373

Number of partitions of n such that no part is a prime divisor of n. A237125

a(n) = floor( n*(n-1)*(n-2)/25 ). A11907