7,856,778

2 × 3 × 1309463

Starting at 7,856,778, the Collatz iteration reaches 1 after 80 steps. The first transition is 3928389; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 1309463

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,713,568

Proper Divisor Sum 7,856,790

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7856759 ← → #7856801

Radix Representation

Decimal	7856778
Binary	11101111110001010001010 (23 bits)
Octal	0o35761212
Hexadecimal	0x77E28A

Divisor Catalog (8)

1 2 3 6 1,309,463 2,618,926 3,928,389 7,856,778

Collatz Trajectory (80 steps to reach 1)

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

7,856,778 3,928,389 11,785,168 5,892,584 2,946,292 1,473,146 736,573 2,209,720 1,104,860 552,430 276,215 828,646 414,323 1,242,970 621,485 1,864,456 932,228 466,114 233,057 699,172 349,586 174,793 524,380 262,190 131,095 393,286 196,643 589,930 294,965 884,896 442,448 221,224 110,612 55,306 27,653 82,960 41,480 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232

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