Properties of the Number 2727

Two Thousand Seven Hundred Twenty-Seven

Basics

Value: 2726 → 2727 → 2728

Parity: odd

Prime: No

Previous Prime: 2719

Next Prime: 2729

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 101

Divisors: 1, 3, 9, 27, 101, 303, 909, 2727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 101010100111

Octal: 5247

Duodecimal: 16B3

Hexadecimal: aa7

Square: 7436529

Square Root: 52.22068555658763

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

Doublets: base-10 representation is the juxtaposition of two identical strings. A20338

Numbers k such that the k-th partition number A000041(k) is prime. A46063

Smaller of two consecutive numbers each divisible by a cube greater than one. A68140

Toothpick sequence on hexagonal net. A182840

T(n,k)=Number of 0..2 arrays of length n+2·k-1 with sum less than 2·k in any length 2k subsequence (=less than 50% duty cycle). A212729

T(n,k)=Number of length n+4 0..k arrays with no consecutive five elements summing to more than 2·k. A241936

Number of integer partitions of n whose parts have choosable sets of strict integer partitions. A387178

Array, read by antidiagonals, where A(n,k) = exp(-1)*∑_i>=0 (i+k)ⁿ/i!. A108087

a(1)=3; for n > 1, a(n) = 1 + a(n-1) + gcd( a(n-1)*(a(n-1)+2), A073829(a(n-1)) ). A167053

Number of ways to write n as an ordered sum of 9 squares of positive integers. A340946