Properties of the Number 29727

Twenty-Nine Thousand Seven Hundred Twenty-Seven

Basics

Value: 29726 → 29727 → 29728

Parity: odd

Prime: No

Previous Prime: 29723

Next Prime: 29741

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 367

Divisors: 1, 3, 9, 27, 81, 367, 1101, 3303, 9909, 29727

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010000011111

Octal: 72037

Duodecimal: 15253

Hexadecimal: 741f

Square: 883694529

Square Root: 172.41519654601214

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) = 3·2*1 + 6·5*4 + 9·8*7 + 12·11·10 + ... + (up to the n-th term). A319867

Gaps of 8 in sequence A038593 (lower terms). A38655

The sum of the first n terms of the sequence is the concatenation of the first n digits of the sequence, a(1) = 3. A299866

a(1) = 1; a(n) = (2ⁿ - 1)*((3ⁿ - 1)/(2ⁿ - 1) mod 1), n >= 2. Unreduced numerators of fractional parts of (3ⁿ - 1)/(2ⁿ - 1). A297446

a(n) is the number of 4 element sets of distinct integer sided strict rectangles that fill an n X n square. A384724

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 21 ones. A31789

Number of length 6+2 0..n arrays with every three consecutive terms having the sum of some two elements equal to twice the third. A248439

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 297", based on the 5-celled von Neumann neighborhood. A271150

Number of n X n binary arrays with all ones connected only in a 00100-00100-11111 pattern in any orientation. A146995

Number of n X n binary arrays symmetric under horizontal and vertical reflection with all ones connected only in a 00100-00100-11111 pattern in any orientation. A146997