Properties of the Number 9705

Nine Thousand Seven Hundred Five

Basics

Value: 9704 → 9705 → 9706

Parity: odd

Prime: No

Previous Prime: 9697

Next Prime: 9719

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 647

Divisors: 1, 3, 5, 15, 647, 1941, 3235, 9705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111101001

Octal: 22751

Duodecimal: 5749

Hexadecimal: 25e9

Square: 94187025

Square Root: 98.51395840184273

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

Expansion of 1/(1 - x - x² - x⁶ + x⁸). A225391

T(n,k)=Number of second differences of arrays of length n+2 of numbers in 0..k. A228218

Table T(n,k) by antidiagonals. T(n,k) is the number of primitive (=aperiodic) k-ary words with length less than or equal to n (n,k >= 1). A143326

Sum of the fifth largest parts of the partitions of n into 8 squarefree parts. A326448

Number of partitions of n into parts 3k or 3k+1. A35360

First element of first run of exactly n consecutive numbers not of form x²+y². A104271

a(n) is the number of positive integers k for which ∑_i=1..j (p_i+e_i) = n, where p₁^e_1*...*p_j^e_j is the prime factorization of k. A382330

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) is not a part of p. A241736

G.f.: ∏_k>=1 (1 + x^k³) / (1 - x^k). A280278

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 541", based on the 5-celled von Neumann neighborhood. A282987