Properties of the Number 40427

Forty Thousand Four Hundred Twenty-Seven

Basics

Value: 40426 → 40427 → 40428

Parity: odd

Prime: Yes

Previous Prime: 40423

Next Prime: 40429

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 40427

Divisors: 1, 40427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110111101011

Octal: 116753

Duodecimal: 1B48B

Hexadecimal: 9deb

Square: 1634342329

Square Root: 201.06466621462857

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

Least k>p such that (kp)³ divides (p-1)^kp²+1 for prime p = A000040(n). A128677

Magnanimous primes: primes with the property that inserting a "+" in any place between two digits yields a sum which is prime. A89392

Primes of the form T(k) + S(k) + 1 where T(k) is the k-th triangular number and S(k) is the k-th square number. A229080

Numerators of partial sums of a series for 1/sqrt(2). A123746

The $620 prime list. A18188

a(n) = n³ - 2·n² + 2. A100109

The lesser of twin primes p such that p·q+a+b+c are also the lesser of twin primes, (p and q are twin primes, p+2=q, a=p-1,b=(p+q)/2,c=q+1). A168536

For prime p=A000040(n), the smallest prime divisor of (p-1)^p+1 other than p. A177996

Primes p in prime triples (p, p+2, p+6) at the end of the maximal gaps in A201598. A233434

Lesser of twin primes of (29n + 1, 29n + 3). A248620