Properties of the Number 12047

Twelve Thousand Forty-Seven

Basics

Value: 12046 → 12047 → 12048

Parity: odd

Prime: No

Previous Prime: 12043

Next Prime: 12049

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 1721

Divisors: 1, 7, 1721, 12047

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10111100001111

Octal: 27417

Duodecimal: 6B7B

Hexadecimal: 2f0f

Square: 145130209

Square Root: 109.75882652433926

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

Numerator of ∑_k=1..n 1/σ(k). A212717

a(n) = Sum of all numbers of divisors of all numbers < (n+1)². A168011

G.f. A(x) = ∑_n>=1 a(n)*x^3·n-2 satisfies: A(x·R(x)) = x² - x⁵, where A(R(x)) = x. A350476

a(n) = ∑_i=1..n φ(i)*φ(i+1), where φ(n) = A000010(n) is Euler's totient function. A330319

Number of factorizations with 3 levels of parentheses indexed by prime signatures. A050340(A025487). A50341

Number of ordered triples (w,x,y) with all terms in {1,...,n} and w²+x²+y²>2n. A211644

Positive numbers k such that k and k + 1 are both positive negaFibonacci-Niven numbers (A331085) and -k and -(k + 1) are both negative negaFibonacci-Niven numbers (A331088). A331092

Numbers k such that k divides the (left) concatenation of all numbers <= k written in base 6 (most significant digit on right and removing all least significant zeros before concatenation). A29523

Let c(n) = x^2ⁿ-1*(1-x^2ⁿ), g(n) = 1 + x^2ⁿ-1 + x^2ⁿ, h(n) = ∏_i=1..n g(i); then use g.f. ∑_n>=1 c(n)/h(n). A151676

Let c(n) = x^2ⁿ-1*(1-x^2ⁿ), g(n) = 1 + x^2ⁿ-1 + x^2ⁿ, h(n) = ∏_i=1..n g(i); then use g.f. (1+2·x) - ∑_n>=1 c(n)/h(n). A151684