Properties of the Number 12057

Twelve Thousand Fifty-Seven

Basics

Value: 12056 → 12057 → 12058

Parity: odd

Prime: No

Previous Prime: 12049

Next Prime: 12071

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 4019

Divisors: 1, 3, 4019, 12057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111100011001

Octal: 27431

Duodecimal: 6B89

Hexadecimal: 2f19

Square: 145371249

Square Root: 109.80437149767764

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

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)ⁿ⁺³)ⁿ⁺¹ for n >= 0. A360235

Expansion of ∏_k>=1 (1 + x^k²)^k². A291649

Lower triangular array called S2hat(-1) related to partition number array A144269. A144270

Numbers k such that k² and k³ have the same set of digits. A29797

a(n) = 104·n + 9977. A126978

Numbers n such that n² + 1 is divisible by a 4th power. A218563

G.f. satisfies A(x) = 1 + x⁴*A(x)*(1 + x·A(x)). A365727

Number of partitions of 2n in which odd parts and multiples of 3 and 5 occur with even multiplicities. There is no restriction on the other even parts. A102346

Similar to A072921 but starting with 3. A152232

Numbers k such that k and k+1 have same sum of anti-divisors. A192282