8,201,692

2² × 19 × 311 × 347

8,201,692 factors as 2^2 × 19 × 311 × 347. Its 24 positive divisors give a proper-divisor sum of 6,998,948, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 311 × 347

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,200,640

Proper Divisor Sum 6,998,948

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8201689 ← → #8201729

Radix Representation

Decimal	8201692
Binary	11111010010010111011100 (23 bits)
Octal	0o37222734
Hexadecimal	0x7D25DC

Divisor Catalog (24)

Collatz Trajectory (124 steps to reach 1)

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

8,201,692 4,100,846 2,050,423 6,151,270 3,075,635 9,226,906 4,613,453 13,840,360 6,920,180 3,460,090 1,730,045 5,190,136 2,595,068 1,297,534 648,767 1,946,302 973,151 2,919,454 1,459,727 4,379,182 2,189,591 6,568,774 3,284,387 9,853,162 4,926,581 14,779,744 7,389,872 3,694,936 1,847,468 923,734 461,867 1,385,602 692,801 2,078,404 1,039,202 519,601 1,558,804 779,402 389,701 1,169,104 584,552 292,276 146,138 73,069 219,208 109,604 54,802 27,401 82,204 41,102 20,551 61,654 30,827 92,482 46,241 138,724 69,362 34,681 104,044 52,022

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