Properties of the Number 9825

Nine Thousand Eight Hundred Twenty-Five

Basics

Value: 9824 → 9825 → 9826

Parity: odd

Prime: No

Previous Prime: 9817

Next Prime: 9829

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 ² × 131

Divisors: 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011001100001

Octal: 23141

Duodecimal: 5829

Hexadecimal: 2661

Square: 96530625

Square Root: 99.12113800799504

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 reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)² = (S_i S_j)⁶ = I. A163876

Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of 1s) is a part. A241506

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

a(n) = n*(2·n² - 3·n + 4)/3. A37235

a(n) = ∑_{1 <= x₁, x₂, x₃ <= n} gcd(x₁, x₂, x₃, n)³. A372928

Minimal k > n such that (4·k+3·n) * (4·n+3·k) is a square. A83752

Convolution square of A073592. A276551

Bases b for which there exists an integer y such that y³ in base b looks like [c,d,e,c,d,e] for base-b digits c,d,e. A290185

Expansion of ∑_k>=1 k² * x^k/(1 - x^k)³. A309732

a(n) = 34·n² - 1. A158588