7,878,934

2 × 7 × 562781

Starting at 7,878,934, the Collatz iteration reaches 1 after 186 steps. The first transition is 3939467; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 562781

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,506,768

Proper Divisor Sum 5,627,834

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7878917 ← → #7878947

Radix Representation

Decimal	7878934
Binary	11110000011100100010110 (23 bits)
Octal	0o36034426
Hexadecimal	0x783916

Divisor Catalog (8)

1 2 7 14 562,781 1,125,562 3,939,467 7,878,934

Collatz Trajectory (186 steps to reach 1)

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

7,878,934 3,939,467 11,818,402 5,909,201 17,727,604 8,863,802 4,431,901 13,295,704 6,647,852 3,323,926 1,661,963 4,985,890 2,492,945 7,478,836 3,739,418 1,869,709 5,609,128 2,804,564 1,402,282 701,141 2,103,424 1,051,712 525,856 262,928 131,464 65,732 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 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390

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