4,671,780

2² × 3 × 5 × 77863

Starting at 4,671,780, the Collatz iteration reaches 1 after 118 steps. The first transition is 2335890; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 77863

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,081,152

Proper Divisor Sum 8,409,372

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4671773 ← → #4671803

Radix Representation

Decimal	4671780
Binary	10001110100100100100100 (23 bits)
Octal	0o21644444
Hexadecimal	0x474924

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 77,863 155,726 233,589 311,452 389,315 467,178 778,630 934,356 1,167,945 1,557,260 2,335,890 4,671,780

Collatz Trajectory (118 steps to reach 1)

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

4,671,780 2,335,890 1,167,945 3,503,836 1,751,918 875,959 2,627,878 1,313,939 3,941,818 1,970,909 5,912,728 2,956,364 1,478,182 739,091 2,217,274 1,108,637 3,325,912 1,662,956 831,478 415,739 1,247,218 623,609 1,870,828 935,414 467,707 1,403,122 701,561 2,104,684 1,052,342 526,171 1,578,514 789,257 2,367,772 1,183,886 591,943 1,775,830 887,915 2,663,746 1,331,873 3,995,620 1,997,810 998,905 2,996,716 1,498,358 749,179 2,247,538 1,123,769 3,371,308 1,685,654 842,827 2,528,482 1,264,241 3,792,724 1,896,362 948,181 2,844,544 1,422,272 711,136 355,568 177,784

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