786,330

2 × 3² × 5 × 8737

786,330 factors as 2 × 3^2 × 5 × 8737. Its 24 positive divisors give a proper-divisor sum of 1,258,362, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 8737

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,044,692

Proper Divisor Sum 1,258,362

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #786329 ← → #786337

Radix Representation

Decimal	786330
Binary	10111111111110011010 (20 bits)
Octal	0o2777632
Hexadecimal	0xBFF9A

Divisor Catalog (24)

Collatz Trajectory (162 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

786,330 393,165 1,179,496 589,748 294,874 147,437 442,312 221,156 110,578 55,289 165,868 82,934 41,467 124,402 62,201 186,604 93,302 46,651 139,954 69,977 209,932 104,966 52,483 157,450 78,725 236,176 118,088 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576

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