8,269,842

2 × 3 × 7 × 196901

Starting at 8,269,842, the Collatz iteration reaches 1 after 336 steps. The first transition is 4134921; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 196901

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,902,592

Proper Divisor Sum 10,632,750

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8269841 ← → #8269847

Radix Representation

Decimal	8269842
Binary	11111100011000000010010 (23 bits)
Octal	0o37430022
Hexadecimal	0x7E3012

Divisor Catalog (16)

1 2 3 6 7 14 21 42 196,901 393,802 590,703 1,181,406 1,378,307 2,756,614 4,134,921 8,269,842

Collatz Trajectory (336 steps to reach 1)

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

8,269,842 4,134,921 12,404,764 6,202,382 3,101,191 9,303,574 4,651,787 13,955,362 6,977,681 20,933,044 10,466,522 5,233,261 15,699,784 7,849,892 3,924,946 1,962,473 5,887,420 2,943,710 1,471,855 4,415,566 2,207,783 6,623,350 3,311,675 9,935,026 4,967,513 14,902,540 7,451,270 3,725,635 11,176,906 5,588,453 16,765,360 8,382,680 4,191,340 2,095,670 1,047,835 3,143,506 1,571,753 4,715,260 2,357,630 1,178,815 3,536,446 1,768,223 5,304,670 2,652,335 7,957,006 3,978,503 11,935,510 5,967,755 17,903,266 8,951,633 26,854,900 13,427,450 6,713,725 20,141,176 10,070,588 5,035,294 2,517,647 7,552,942 3,776,471 11,329,414

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