9,686,980

2² × 5 × 79 × 6131

Starting at 9,686,980, the Collatz iteration reaches 1 after 119 steps. The first transition is 4843490; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 79 × 6131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,603,520

Proper Divisor Sum 10,916,540

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9686977 ← → #9687001

Radix Representation

Decimal	9686980
Binary	100100111100111111000100 (24 bits)
Octal	0o44747704
Hexadecimal	0x93CFC4

Divisor Catalog (24)

1 2 4 5 10 20 79 158 316 395 790 1,580 6,131 12,262 24,524 30,655 61,310 122,620 484,349 968,698 1,937,396 2,421,745 4,843,490 9,686,980

Collatz Trajectory (119 steps to reach 1)

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

9,686,980 4,843,490 2,421,745 7,265,236 3,632,618 1,816,309 5,448,928 2,724,464 1,362,232 681,116 340,558 170,279 510,838 255,419 766,258 383,129 1,149,388 574,694 287,347 862,042 431,021 1,293,064 646,532 323,266 161,633 484,900 242,450 121,225 363,676 181,838 90,919 272,758 136,379 409,138 204,569 613,708 306,854 153,427 460,282 230,141 690,424 345,212 172,606 86,303 258,910 129,455 388,366 194,183 582,550 291,275 873,826 436,913 1,310,740 655,370 327,685 983,056 491,528 245,764 122,882 61,441

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