6,984,660

2² × 3 × 5 × 116411

Starting at 6,984,660, the Collatz iteration reaches 1 after 72 steps. The first transition is 3492330; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 116411

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 19,557,216

Proper Divisor Sum 12,572,556

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6984629 ← → #6984689

Radix Representation

Decimal	6984660
Binary	11010101001001111010100 (23 bits)
Octal	0o32511724
Hexadecimal	0x6A93D4

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 116,411 232,822 349,233 465,644 582,055 698,466 1,164,110 1,396,932 1,746,165 2,328,220 3,492,330 6,984,660

Collatz Trajectory (72 steps to reach 1)

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

6,984,660 3,492,330 1,746,165 5,238,496 2,619,248 1,309,624 654,812 327,406 163,703 491,110 245,555 736,666 368,333 1,105,000 552,500 276,250 138,125 414,376 207,188 103,594 51,797 155,392 77,696 38,848 19,424 9,712 4,856 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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