Properties of the Number 41784

Forty-One Thousand Seven Hundred Eighty-Four

Basics

Value: 41783 → 41784 → 41785

Parity: even

Prime: No

Previous Prime: 41777

Next Prime: 41801

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 1741

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 1741, 3482

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001100111000

Octal: 121470

Duodecimal: 20220

Hexadecimal: a338

Square: 1745902656

Square Root: 204.41134997841974

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

Array of higher spin alternating sign matrices, read by antidiagonals. A143670

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,4,6,4,1. A221996

Inverse binomial transform of A376277. A375181

E.g.f.: C(x) = ∑_n>=0 cosh((2·n+1)*x) * xⁿ / (1 + x^2·n+1). A257214

E.g.f.: S(x) = ∑_n>=0 sinh((2·n+1)*x) * xⁿ / (1 - x^2·n+1). A257215

Numerators of continued fraction convergents to sqrt(413). A41784

Number of permutations of 4 indistinguishable copies of 1..n with exactly 3 adjacent element pairs in decreasing order. A151641

Number of (n+2)X4 0..5 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order. A186173