8,097,330

2 × 3 × 5 × 43 × 6277

8,097,330 factors as 2 × 3 × 5 × 43 × 6277. Its 32 positive divisors give a proper-divisor sum of 11,791,374, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 43 × 6277

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,888,704

Proper Divisor Sum 11,791,374

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8097319 ← → #8097343

Radix Representation

Decimal	8097330
Binary	11110111000111000110010 (23 bits)
Octal	0o36707062
Hexadecimal	0x7B8E32

Divisor Catalog (32)

Collatz Trajectory (142 steps to reach 1)

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

8,097,330 4,048,665 12,145,996 6,072,998 3,036,499 9,109,498 4,554,749 13,664,248 6,832,124 3,416,062 1,708,031 5,124,094 2,562,047 7,686,142 3,843,071 11,529,214 5,764,607 17,293,822 8,646,911 25,940,734 12,970,367 38,911,102 19,455,551 58,366,654 29,183,327 87,549,982 43,774,991 131,324,974 65,662,487 196,987,462 98,493,731 295,481,194 147,740,597 443,221,792 221,610,896 110,805,448 55,402,724 27,701,362 13,850,681 41,552,044 20,776,022 10,388,011 31,164,034 15,582,017 46,746,052 23,373,026 11,686,513 35,059,540 17,529,770 8,764,885 26,294,656 13,147,328 6,573,664 3,286,832 1,643,416 821,708 410,854 205,427 616,282 308,141

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