Properties of the Number 29785

Twenty-Nine Thousand Seven Hundred Eighty-Five

Basics

Value: 29784 → 29785 → 29786

Parity: odd

Prime: No

Previous Prime: 29761

Next Prime: 29789

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 5 × 7 × 23 × 37

Divisors: 1, 5, 7, 23, 35, 37, 115, 161, 185, 259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010001011001

Octal: 72131

Duodecimal: 152A1

Hexadecimal: 7459

Square: 887146225

Square Root: 172.58331321422705

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) = n*(n+2)*(2·n-1)/3. Also, row sums of triangle A131422. A131423

a(n) = 36·n² - 17·n + 2. A157265

a(n) = ∑_k=1..n φ(gcd(k, n))^{n/gcd(k, n} - 1). A342542

Number of base 17 n-digit numbers with adjacent digits differing by three or less. A126485

Hankel transform of A158500. A158501

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + n·b(n), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296294

Numbers whose prime indices have arithmetic and geometric mean differing by one. A358332

a(1)=1; a(2)=2; a(3)=3; a(n) = ∑_k=3..n-1 (a(k) + a(k-1) + a(k-2)). A78344

Duplicate of A131423. A143371

Antidiagonal sums of A343053. A377521