8,092,497

3 × 7² × 55051

8,092,497 factors as 3 × 7^2 × 55051. Its 12 positive divisors give a proper-divisor sum of 4,459,359, so this integer is deficient. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 55051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,551,856

Proper Divisor Sum 4,459,359

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8092489 ← → #8092501

Radix Representation

Decimal	8092497
Binary	11110110111101101010001 (23 bits)
Octal	0o36675521
Hexadecimal	0x7B7B51

Divisor Catalog (12)

1 3 7 21 49 147 55,051 165,153 385,357 1,156,071 2,697,499 8,092,497

Collatz Trajectory (93 steps to reach 1)

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

8,092,497 24,277,492 12,138,746 6,069,373 18,208,120 9,104,060 4,552,030 2,276,015 6,828,046 3,414,023 10,242,070 5,121,035 15,363,106 7,681,553 23,044,660 11,522,330 5,761,165 17,283,496 8,641,748 4,320,874 2,160,437 6,481,312 3,240,656 1,620,328 810,164 405,082 202,541 607,624 303,812 151,906 75,953 227,860 113,930 56,965 170,896 85,448 42,724 21,362 10,681 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238

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