Properties of the Number 41601

Forty-One Thousand Six Hundred One

Basics

Value: 41600 → 41601 → 41602

Parity: odd

Prime: No

Previous Prime: 41597

Next Prime: 41603

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 283

Divisors: 1, 3, 7, 21, 49, 147, 283, 849, 1981, 5943

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010001010000001

Octal: 121201

Duodecimal: 200A9

Hexadecimal: a281

Square: 1730643201

Square Root: 203.96323198066852

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

a(n) is the constant term in expansion of ∏_k=1..n (x^k² + 1 + 1/x^k²). A350249

Partial sums of A151782. A151793

a(n) = 26·n² + 1. A158549

0-sequence of reduction of (3n-1) by x² -> x+1. A192309

Number of -n..n arrays x(0..3) of 4 elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative. A199899

Expansion of 1/(1 - x*(1 + 4·x)^3/2)². A382649

Number of 4Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 4Xn array. A219917

Number of n X 3 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal. A223639

Integers k such that A008347(k) is divisible by k. A264834

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219915