Properties of the Number 9827

Nine Thousand Eight Hundred Twenty-Seven

Basics

Value: 9826 → 9827 → 9828

Parity: odd

Prime: No

Previous Prime: 9817

Next Prime: 9829

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 31 × 317

Divisors: 1, 31, 317, 9827

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001100011

Octal: 23143

Duodecimal: 582B

Hexadecimal: 2663

Square: 96569929

Square Root: 99.13122616007531

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

Number of T₀ integer partitions of n. A319564

Number of Dyck paths such that the area between the x-axis and the path is n. A143951

a(n) = 2·n³ + 1. A33562

Numbers k such that k¹⁶ == 1 (mod 17³). A56088

a(n) = n*(n² - 1)/2 - 1. A117560

Nonzero coefficients of g.f.: A(x) = G(G(G(G(x)))) where G(x) = x + G(G(x))³ is the g.f. of A153851. A153854

Numbers k such that 17 is the largest prime factor of k² - 1. A181452

a(n) = n*(21·n-17)/2. A226491

Numbers of the form 12·m-1 for which there is no representation as a sum (p·q + p·r + q·r) with three odd primes p <= q <= r. A369463

a(n) = 34·n² + 1. A158586