Properties of the Number 30729

Thirty Thousand Seven Hundred Twenty-Nine

Basics

Value: 30728 → 30729 → 30730

Parity: odd

Prime: No

Previous Prime: 30727

Next Prime: 30757

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 10243

Divisors: 1, 3, 10243, 30729

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100000001001

Octal: 74011

Duodecimal: 15949

Hexadecimal: 7809

Square: 944271441

Square Root: 175.29689101635546

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

Number of integer partitions of n with more than one mode. A362607

Numbers k such that k and 2·k, taken together are pandigital. A115922

Total sum of parts of multiplicity 9 in all partitions of n. A222737

Number of n-length words w over an 8-ary alphabet {a₁,...,a₈} such that w contains never more than j consecutive letters a_j (for 1<=j<=8). A242631

Numbers n such that 175·2ⁿ-1 is prime. A50839

Number of new terms at stage n in the formation of A030727; likewise at stage n in the formation of A030777. A30729

Number of nX4 0..2 arrays with no element equal to more than one of its horizontal, vertical and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A280957