8,355,262

2 × 17 × 397 × 619

8,355,262 factors as 2 × 17 × 397 × 619. Its 16 positive divisors give a proper-divisor sum of 4,969,778, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2 × 17 × 397 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,325,040

Proper Divisor Sum 4,969,778

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8355253 ← → #8355271

Radix Representation

Decimal	8355262
Binary	11111110111110110111110 (23 bits)
Octal	0o37676676
Hexadecimal	0x7F7DBE

Divisor Catalog (16)

1 2 17 34 397 619 794 1,238 6,749 10,523 13,498 21,046 245,743 491,486 4,177,631 8,355,262

Collatz Trajectory (137 steps to reach 1)

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

8,355,262 4,177,631 12,532,894 6,266,447 18,799,342 9,399,671 28,199,014 14,099,507 42,298,522 21,149,261 63,447,784 31,723,892 15,861,946 7,930,973 23,792,920 11,896,460 5,948,230 2,974,115 8,922,346 4,461,173 13,383,520 6,691,760 3,345,880 1,672,940 836,470 418,235 1,254,706 627,353 1,882,060 941,030 470,515 1,411,546 705,773 2,117,320 1,058,660 529,330 264,665 793,996 396,998 198,499 595,498 297,749 893,248 446,624 223,312 111,656 55,828 27,914 13,957 41,872 20,936 10,468 5,234 2,617 7,852 3,926 1,963 5,890 2,945 8,836

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