9,834,378

2 × 3 × 31 × 37 × 1429

Starting at 9,834,378, the Collatz iteration reaches 1 after 207 steps. The first transition is 4917189; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 37 × 1429

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 20,866,560

Proper Divisor Sum 11,032,182

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9834373 ← → #9834379

Radix Representation

Decimal	9834378
Binary	100101100000111110001010 (24 bits)
Octal	0o45407612
Hexadecimal	0x960F8A

Divisor Catalog (32)

1 2 3 6 31 37 62 74 93 111 186 222 1,147 1,429 2,294 2,858 3,441 4,287 6,882 8,574 44,299 52,873 88,598 105,746 132,897 158,619 265,794 317,238 1,639,063 3,278,126 4,917,189 9,834,378

Collatz Trajectory (207 steps to reach 1)

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

9,834,378 4,917,189 14,751,568 7,375,784 3,687,892 1,843,946 921,973 2,765,920 1,382,960 691,480 345,740 172,870 86,435 259,306 129,653 388,960 194,480 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402

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