Properties of the Number 9040

Nine Thousand Forty

Basics

Value: 9039 → 9040 → 9041

Parity: even

Prime: No

Previous Prime: 9029

Next Prime: 9041

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 5 × 113

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001101010000

Octal: 21520

Duodecimal: 5294

Hexadecimal: 2350

Square: 81721600

Square Root: 95.0789145920377

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

Norm of the sum of divisors function σ(n) generalized for Gaussian integers. A103230

Numbers k such that φ(x) = k has exactly 11 solutions. A60674

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 1 0 and 1 0 1 vertically. A207808

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime. A251819

Real part of absolute Gaussian perfect numbers, in order of increasing magnitude. A102531

Numbers k such that k and k+2 are both primitive practical numbers (A267124). A334882

Let m_n denote the number which is obtained from n-base representation of m if its digits are written in nondecreasing order; then a(n) is the smallest period of the sequence which is defined by the recurrence b(0)=0, b(1)=1, b(k)=(b(k-1) + b(k-2))_n, for k>=2, or a(n)=0, if there is no such period. A237671

Expansion of ∏_k>=0 ((1+x^2·k+1)/(1-x^2·k+1))⁵. A261648

McKay-Thompson series of class 15A for Monster. A58508

McKay-Thompson series of class 15A for the Monster group with a(0) = 1. A134783