Properties of the Number 40984

Forty Thousand Nine Hundred Eighty-Four

Basics

Value: 40983 → 40984 → 40985

Parity: even

Prime: No

Previous Prime: 40973

Next Prime: 40993

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 47 × 109

Divisors: 1, 2, 4, 8, 47, 94, 109, 188, 218, 376

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010000000011000

Octal: 120030

Duodecimal: 1B874

Hexadecimal: a018

Square: 1679688256

Square Root: 202.44505427399307

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

Numbers n such that the numerator of ∑_i=1..n (1/i²), in reduced form, is prime. A111354

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 25 ones. A31793

Number of n X 2 0..2 arrays with horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and rows and columns lexicographically nondecreasing. A229439

Numbers k such that 3·R_k + 40 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A256606

Primes p such that x²³ = 2 has no solution mod p. A40984

Square array A(n, k) = A329644(prime(n)^k), read by falling antidiagonals: (1,1), (1,2), (2,1), (1,3), (2,2), (3,1), ... A329637

Number of nX6 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal. A206985