9,199,112

2³ × 13 × 197 × 449

Starting at 9,199,112, the Collatz iteration reaches 1 after 225 steps. The first transition is 4599556; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 197 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,711,000

Proper Divisor Sum 9,511,888

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9199109 ← → #9199117

Radix Representation

Decimal	9199112
Binary	100011000101111000001000 (24 bits)
Octal	0o43057010
Hexadecimal	0x8C5E08

Divisor Catalog (32)

1 2 4 8 13 26 52 104 197 394 449 788 898 1,576 1,796 2,561 3,592 5,122 5,837 10,244 11,674 20,488 23,348 46,696 88,453 176,906 353,812 707,624 1,149,889 2,299,778 4,599,556 9,199,112

Collatz Trajectory (225 steps to reach 1)

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

9,199,112 4,599,556 2,299,778 1,149,889 3,449,668 1,724,834 862,417 2,587,252 1,293,626 646,813 1,940,440 970,220 485,110 242,555 727,666 363,833 1,091,500 545,750 272,875 818,626 409,313 1,227,940 613,970 306,985 920,956 460,478 230,239 690,718 345,359 1,036,078 518,039 1,554,118 777,059 2,331,178 1,165,589 3,496,768 1,748,384 874,192 437,096 218,548 109,274 54,637 163,912 81,956 40,978 20,489 61,468 30,734 15,367 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725

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