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Properties of the Number 9707

Nine Thousand Seven Hundred Seven

Basics

Value: 9706 → 9707 → 9708

Parity: odd

Prime: No

Previous Prime: 9697

Next Prime: 9719

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 17 × 571

Divisors: 1, 17, 571, 9707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111101011

Octal: 22753

Duodecimal: 574B

Hexadecimal: 25eb

Square: 94225849

Square Root: 98.52410872471773

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) = a(n-1) + 2·a(n-2) - a(n-3), with a(0) = a(1) = 0, a(2) = 1. A6053
Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 7 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2·n, s(0) = 1, s(2n) = 3. A94790
Numbers k such that 7·k! + 1 is prime. A76683
Let i be in {1,2,3} and let r >= 0 be an integer. Let p = {p1, p2, p3} = {-2,0,1}, n=2·r+pi, and define a(-2)=0. Then, a(n)=a(2·r+pi) gives the quantity of H7,2,0 tiles in a subdivided H7,i,r tile after linear scaling by the factor xr, where x=sqrt(2·cos(π/7)). A187066
Numbers k such that σ(φ(k))-φ(σ(k)) is nonzero and divisible by φ(k), that is A065395(k)/A000010(k) is a nonzero integer. A92587
In binary representation: numbers not occurring in their factorial. A93685
Let i be in {1,2,3} and let r >= 0 be an integer. Let p = {p1, p2, p3} = {-2,0,1}, n=2·r+pi, and define a(-2)=1. Then, a(n)=a(2·r+pi) gives the quantity of H7,1,0 tiles in a subdivided H7,i,r tile after linear scaling by the factor xr, where x=sqrt(2·cos(π/7)). A187065
Let i be in {1,2,3} and let r >= 0 be an integer. Let p = {p1, p2, p3} = {-2,0,1}, n = 2·r + pi and define a(-2)=0. Then, a(n) = a(2·r + pi) gives the quantity of H7,3,0 tiles in a subdivided H7,i,r tile after linear scaling by the factor xr, where x = sqrt(2·cos(π/7)). A187067
Natural numbers written out with their digits grouped in sets of four (leading zeros omitted). A91332
Number of 3-bead necklaces where each bead is a planted trivalent plane tree [or anything else enumerated by the Catalan numbers], by total number of nodes. A46342