Properties of the Number 41597

Forty-One Thousand Five Hundred Ninety-Seven

Basics

Value: 41596 → 41597 → 41598

Parity: odd

Prime: Yes

Previous Prime: 41593

Next Prime: 41603

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 41597

Divisors: 1, 41597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010001001111101

Octal: 121175

Duodecimal: 200A5

Hexadecimal: a27d

Square: 1730310409

Square Root: 203.9534260560484

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 6,2]; short d-string notation of pattern = [662]. A78857

Smaller member p of a pair (p,p+6) of consecutive primes in different centuries. A160370

Triangle read by rows, where row n starts with n-th prime, followed by n primes in arithmetic progression; T(0,0) = 1 by convention. A211890

The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists. A78874

Sorted version of A078874. A78875

Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,2,6). A78965

Primes that remain prime through 3 iterations of function f(x) = 6x + 7. A23289

Numbers k such that 86^k - 85^k is prime. A62652

Primes p such that (p reversed)+10 is a square. A167474

Number of (2+2) X (n+2) 0..4 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252963