Properties of the Number 12996

Twelve Thousand Nine Hundred Ninety-Six

Basics

Value: 12995 → 12996 → 12997

Parity: even

Prime: No

Previous Prime: 12983

Next Prime: 13001

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 19 ²

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 19, 36

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011000100

Octal: 31304

Duodecimal: 7630

Hexadecimal: 32c4

Square: 168896016

Square Root: 114

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

Exponential abundant numbers: integers k for which A126164(k) > k, or equivalently for which A051377(k) > 2k. A129575

Number of integer partitions of n with the same length as alternating sum. A357189

a(n) = (3·n)². A16766

Squares n² such that floor(n²/9) is again a square. A204503

Products of squares of 2 or more distinct primes. A177492

Numbers that are the squares of the product of three distinct primes. A162143

a(n) = (4n + 2)². A16826

T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 antidiagonally or horizontally. A189064

T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 diagonally, antidiagonally or horizontally. A189617

a(n) = (11·n + 4)². A17438