9,746,671

11² × 109 × 739

9,746,671 factors as 11^2 × 109 × 739. Its 12 positive divisors give a proper-divisor sum of 1,079,529, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 11^2 × 109 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,826,200

Proper Divisor Sum 1,079,529

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9746629 ← → #9746707

Radix Representation

Decimal	9746671
Binary	100101001011100011101111 (24 bits)
Octal	0o45134357
Hexadecimal	0x94B8EF

Divisor Catalog (12)

1 11 109 121 739 1,199 8,129 13,189 80,551 89,419 886,061 9,746,671

Collatz Trajectory (150 steps to reach 1)

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

9,746,671 29,240,014 14,620,007 43,860,022 21,930,011 65,790,034 32,895,017 98,685,052 49,342,526 24,671,263 74,013,790 37,006,895 111,020,686 55,510,343 166,531,030 83,265,515 249,796,546 124,898,273 374,694,820 187,347,410 93,673,705 281,021,116 140,510,558 70,255,279 210,765,838 105,382,919 316,148,758 158,074,379 474,223,138 237,111,569 711,334,708 355,667,354 177,833,677 533,501,032 266,750,516 133,375,258 66,687,629 200,062,888 100,031,444 50,015,722 25,007,861 75,023,584 37,511,792 18,755,896 9,377,948 4,688,974 2,344,487 7,033,462 3,516,731 10,550,194 5,275,097 15,825,292 7,912,646 3,956,323 11,868,970 5,934,485 17,803,456 8,901,728 4,450,864 2,225,432

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