Properties of the Number 61409

Sixty-One Thousand Four Hundred Nine

Basics

Value: 61408 → 61409 → 61410

Parity: odd

Prime: Yes

Previous Prime: 61403

Next Prime: 61417

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 61409

Divisors: 1, 61409

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111111100001

Octal: 167741

Duodecimal: 2B655

Hexadecimal: efe1

Square: 3771065281

Square Root: 247.80839372386077

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

Primes that remain prime through 3 iterations of the function f(x) = 2·x + 1. A23272

Primes that remain prime through 4 iterations of function f(x) = 2x + 1. A23302

Initial (unsafe) primes of Cunningham chains of first type with length exactly 5. Primes in A059453 that survive as primes just four "2p+1 iterations", forming chains of exactly 5 terms. A59764

The number of vertices in a Farey diagram of order (n,n). A358883

Smallest primes starting a complete four iterations Cunningham chain of the first or second kind. A110027

Primes p such that A008472(p-1) = A008472(p+1), where A008472 = sum of distinct primes dividing n. A203182

Primes that are anagrams of Fibonacci numbers. A162390

For each y >= 1 there are only finitely many values of x >= 1 such that x-y and x+y are both positive squares; list all such pairs (x,y) ordered by values of y; sequence gives·values. A61409