Properties of the Number 27099

Twenty-Seven Thousand Ninety-Nine

Basics

Value: 27098 → 27099 → 27100

Parity: odd

Prime: No

Previous Prime: 27091

Next Prime: 27103

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3011

Divisors: 1, 3, 9, 3011, 9033, 27099

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111011011

Octal: 64733

Duodecimal: 13823

Hexadecimal: 69db

Square: 734355801

Square Root: 164.61773901982738

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

Starting numbers for which the RATS sequence has eventual period 3. A114613

T(n,k)=Number of nXk 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240422

Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new minimum. A372097

a(n) is the unique k such that A382357(k) = 2ⁿ. A382360

Number of nX2 0..3 arrays with no element equal to two plus the sum of elements to its left or two plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4. A240418

Numbers n whose reversal is a multiple of the reversal of n+1. A250603

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood. A272824

a(n) = OP(sum{i=0,...,n} OP(binomial(n,i))), where OP(n) is the odd part of n (A000265). A249401

a(n) = ∑_0<=i<=i<=n A027082(i, n+j). A27099