Properties of the Number 46561

Forty-Six Thousand Five Hundred Sixty-One

Basics

Value: 46560 → 46561 → 46562

Parity: odd

Prime: No

Previous Prime: 46559

Next Prime: 46567

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 101 × 461

Divisors: 1, 101, 461, 46561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011010111100001

Octal: 132741

Duodecimal: 22B41

Hexadecimal: b5e1

Square: 2167926721

Square Root: 215.77998053572995

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

Expansion of e.g.f.: log(1+sin(x))/exp(x). A9337

a(n) = sqrt(A370259(2·n)/(n+1)) for n >= 1. A370261

G.f. A(x) satisfies both A(-x)*A(x) = A(x²) and xA(x)² = B(xA(x²)) where B(x) = x*(1+x)/(1-x). A91188

G.f. satisfies: A(x,y) = 1 + x·y*A(x,y+1)². A268652

Antidiagonal sums of triangle A107105: a(n) = ∑_k=0..n A107105(n-k,k), where A107105(n,k) = C(n,k)*(C(n,k) + 1)/2. A107597

Strong pseudoprimes to base 60. A20286

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 0111-1100-0111 pattern in any orientation. A147369

Centered 10-gonal numbers which are products of two primes. A367792

Distinct odd numbers in writing first numerator and then denominator of each element to the right of the central elements of the 1/3-Pascal triangle (by row). A46561