Properties of the Number 11705

Eleven Thousand Seven Hundred Five

Basics

Value: 11704 → 11705 → 11706

Parity: odd

Prime: No

Previous Prime: 11701

Next Prime: 11717

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 2341

Divisors: 1, 5, 2341, 11705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110110111001

Octal: 26671

Duodecimal: 6935

Hexadecimal: 2db9

Square: 137007025

Square Root: 108.18964830333815

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) = 8·n² + 4·n + 1. A102083

T(n,k)=Number of nXk array permutations with each element moving zero or one space horizontally or diagonally. A189449

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

a(n) = r·a(ceiling(n/2))+s·a(floor(n/2)) with a(1)=1 and (r,s)=(3,2). A268526

a(n) = n³ + 2·n² + 4·n + 1. A270867

Hypotenuse C of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q²-p², c=q²+p², b=2·p*q, s=a+b+c, s-+1 are primes. A155175

Number of complete tree-partitions of a multiset whose multiplicities are the prime indices of n. A318848

a(n) = 6·n² - 10·n + 5. A136392

Table of coefficients in functions that satisfy W_n(x) = W_n-1(x)^W_n(x), with W₀(x) = exp(x), as read by antidiagonals. A274391

a(n) = p(0) + p(1) + ... + p(n) - n - 1, where p = partition numbers, A000041. A58682