8,209,108

2² × 67 × 30631

8,209,108 factors as 2^2 × 67 × 30631. Its 12 positive divisors give a proper-divisor sum of 6,371,724, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 67 × 30631

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,580,832

Proper Divisor Sum 6,371,724

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8209099 ← → #8209109

Radix Representation

Decimal	8209108
Binary	11111010100001011010100 (23 bits)
Octal	0o37241324
Hexadecimal	0x7D42D4

Divisor Catalog (12)

1 2 4 67 134 268 30,631 61,262 122,524 2,052,277 4,104,554 8,209,108

Collatz Trajectory (186 steps to reach 1)

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

8,209,108 4,104,554 2,052,277 6,156,832 3,078,416 1,539,208 769,604 384,802 192,401 577,204 288,602 144,301 432,904 216,452 108,226 54,113 162,340 81,170 40,585 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501

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