Properties of the Number 40801

Forty Thousand Eight Hundred One

Basics

Value: 40800 → 40801 → 40802

Parity: odd

Prime: Yes

Previous Prime: 40787

Next Prime: 40813

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 40801

Divisors: 1, 40801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001111101100001

Octal: 117541

Duodecimal: 1B741

Hexadecimal: 9f61

Square: 1664721601

Square Root: 201.9925741209315

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

Number of partitions of n having no parts with multiplicity 4. A184639

Primes of form k² - 3. A28874

Number of partitions p = [x(1), ..., x(k)], where x(1) >= x(2) >= ... >= x(k), of n such that max(x(i) - x(i-1)) > number of distinct parts of p. A241822

Expansion of (1+x²)*(1+x⁵)*(1+x⁸)/((1-x)*(1-x²)*(1-x³)*(1-x⁴)*(1-x⁵)*(1-x⁶)*(1-x⁷)*(1-x⁸)*(1-x⁹)*(1-x¹⁰)). A69950

Number of partitions of n such that the least part is less than its multiplicity. A240175

Third term of strong prime sextets: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2). A54815

Smallest prime p such that p - floor(sqrt(p))² = n². A242991

Primes having only {0, 1, 4, 8} as digits. A386030

Number of ways to write n as p·q-(p+q) with primes p <= q. A157187

Continued fraction for sqrt(830). A40801