Properties of the Number 27617

Twenty-Seven Thousand Six Hundred Seventeen

Basics

Value: 27616 → 27617 → 27618

Parity: odd

Prime: Yes

Previous Prime: 27611

Next Prime: 27631

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 27617

Divisors: 1, 27617

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101111100001

Octal: 65741

Duodecimal: 13B95

Hexadecimal: 6be1

Square: 762698689

Square Root: 166.1836333698358

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

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 2, and a(3) = 1. A50043

Numbers k such that R(k) - 10^floor(k/2-1) is prime, where R(k) = (10^k-1)/9 (repunit: A002275). A331863

Beginning with 7, least prime such that concatenation of first n terms and its digit reversal both are primes. A379761

There appear to be at least n primes in the range (x-2·sqrt(x), x] for all x >= a(n). A189027

Primes of the form x² + (x+3)². A76727

Primes in A373801 in order of their appearance. A373802

Primes A080478(n)² + A080478(n+1)². A139361

Number of (2+1) X (n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231264

Minimum prime that raised to the powers from 1 to n produces numbers whose sums of digits are also primes. A131748

a(n) = |{0 < k <= n: 2·k + 1 and prime(k)*prime(n) - 2 are both prime}|. A238580