8,029,660

2² × 5 × 97 × 4139

8,029,660 factors as 2^2 × 5 × 97 × 4139. Its 24 positive divisors give a proper-divisor sum of 9,010,580, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 97 × 4139

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,040,240

Proper Divisor Sum 9,010,580

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8029649 ← → #8029663

Radix Representation

Decimal	8029660
Binary	11110101000010111011100 (23 bits)
Octal	0o36502734
Hexadecimal	0x7A85DC

Divisor Catalog (24)

Collatz Trajectory (93 steps to reach 1)

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

8,029,660 4,014,830 2,007,415 6,022,246 3,011,123 9,033,370 4,516,685 13,550,056 6,775,028 3,387,514 1,693,757 5,081,272 2,540,636 1,270,318 635,159 1,905,478 952,739 2,858,218 1,429,109 4,287,328 2,143,664 1,071,832 535,916 267,958 133,979 401,938 200,969 602,908 301,454 150,727 452,182 226,091 678,274 339,137 1,017,412 508,706 254,353 763,060 381,530 190,765 572,296 286,148 143,074 71,537 214,612 107,306 53,653 160,960 80,480 40,240 20,120 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415

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