Properties of the Number 46621

Forty-Six Thousand Six Hundred Twenty-One

Basics

Value: 46620 → 46621 → 46622

Parity: odd

Prime: No

Previous Prime: 46619

Next Prime: 46633

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 23 × 2027

Divisors: 1, 23, 2027, 46621

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011011000011101

Octal: 133035

Duodecimal: 22B91

Hexadecimal: b61d

Square: 2173517641

Square Root: 215.91896628133435

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

T(n,k) = Number of (n+2) X (k+2) binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals. A202532

a(n) = n³ - n + 1. A61600

The last number for which a determinant of base-n numbers is nonzero. A79505

Number of (n+2) X 7 binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals. A202529

Number of (n+2)X(n+2) binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals. A202524

Square array A(n, k) = A048720(A065621(σ((2n-1)²)), σ((2k-1)²)), read by falling antidiagonals, (1,1), (1,2), (2,1), (1,3), (2,2), (3,1), etc. A379221

Triangular numbers k such that φ(k) is also a triangular number, where φ(k) is the Euler totient function (A000010). A287472

First denominator and then numerator of each element to the right of the central elements of the 1/5-Pascal triangle (by row), excluding 5's. A46621