9,999,109

47 × 79 × 2693

Starting at 9,999,109, the Collatz iteration reaches 1 after 189 steps. The first transition is 29997328; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 47 × 79 × 2693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,344,960

Proper Divisor Sum 345,851

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9999083 ← → #9999161

Radix Representation

Decimal	9999109
Binary	100110001001001100000101 (24 bits)
Octal	0o46111405
Hexadecimal	0x989305

Divisor Catalog (8)

1 47 79 2,693 3,713 126,571 212,747 9,999,109

Collatz Trajectory (189 steps to reach 1)

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

9,999,109 29,997,328 14,998,664 7,499,332 3,749,666 1,874,833 5,624,500 2,812,250 1,406,125 4,218,376 2,109,188 1,054,594 527,297 1,581,892 790,946 395,473 1,186,420 593,210 296,605 889,816 444,908 222,454 111,227 333,682 166,841 500,524 250,262 125,131 375,394 187,697 563,092 281,546 140,773 422,320 211,160 105,580 52,790 26,395 79,186 39,593 118,780 59,390 29,695 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075 2,283,226

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