9,378,915

3 × 5 × 7 × 13 × 6871

Starting at 9,378,915, the Collatz iteration reaches 1 after 225 steps. The first transition is 28136746; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 6871

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,471,936

Proper Divisor Sum 9,093,021

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9378911 ← → #9378923

Radix Representation

Decimal	9378915
Binary	100011110001110001100011 (24 bits)
Octal	0o43616143
Hexadecimal	0x8F1C63

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 6,871 20,613 34,355 48,097 89,323 103,065 144,291 240,485 267,969 446,615 625,261 721,455 1,339,845 1,875,783 3,126,305 9,378,915

Collatz Trajectory (225 steps to reach 1)

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

9,378,915 28,136,746 14,068,373 42,205,120 21,102,560 10,551,280 5,275,640 2,637,820 1,318,910 659,455 1,978,366 989,183 2,967,550 1,483,775 4,451,326 2,225,663 6,676,990 3,338,495 10,015,486 5,007,743 15,023,230 7,511,615 22,534,846 11,267,423 33,802,270 16,901,135 50,703,406 25,351,703 76,055,110 38,027,555 114,082,666 57,041,333 171,124,000 85,562,000 42,781,000 21,390,500 10,695,250 5,347,625 16,042,876 8,021,438 4,010,719 12,032,158 6,016,079 18,048,238 9,024,119 27,072,358 13,536,179 40,608,538 20,304,269 60,912,808 30,456,404 15,228,202 7,614,101 22,842,304 11,421,152 5,710,576 2,855,288 1,427,644 713,822 356,911

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