Properties of the Number 4109

Four Thousand One Hundred Nine

Basics

Value: 4108 → 4109 → 4110

Parity: odd

Prime: No

Previous Prime: 4099

Next Prime: 4111

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 587

Divisors: 1, 7, 587, 4109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000000001101

Octal: 10015

Duodecimal: 2465

Hexadecimal: 100d

Square: 16883881

Square Root: 64.10148204214939

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

a(n) = 2ⁿ + n + 1. A5126

Bisection of A001400. A14125

a(n) = n*(3·n² - 1)/2. A4188

Number of points on surface of square pyramid: 3·n² + 2 (n>0). A5918

Sum of three consecutive squares: a(n) = n² + (n + 1)² + (n + 2)². A120328

G.f.: A(x) = exp( ∑_n>=1 σ(n²)*xⁿ/n ), a power series in·with integer coefficients. A156303

a(n) = ∑_d∣n d·2^{n/d - 1}. A54599

Sum of the third largest parts of the partitions of n into 9 squarefree parts. A326530

Positive fundamental solution x(n) of the generalized Pell equation X² - D(n) Y(n) = 2 with D(n) = A261246(n). A261247

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A304058