9,984,340

2² × 5 × 67 × 7451

Starting at 9,984,340, the Collatz iteration reaches 1 after 57 steps. The first transition is 4992170; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 67 × 7451

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,282,912

Proper Divisor Sum 11,298,572

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9984311 ← → #9984347

Radix Representation

Decimal	9984340
Binary	100110000101100101010100 (24 bits)
Octal	0o46054524
Hexadecimal	0x985954

Divisor Catalog (24)

1 2 4 5 10 20 67 134 268 335 670 1,340 7,451 14,902 29,804 37,255 74,510 149,020 499,217 998,434 1,996,868 2,496,085 4,992,170 9,984,340

Collatz Trajectory (57 steps to reach 1)

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

9,984,340 4,992,170 2,496,085 7,488,256 3,744,128 1,872,064 936,032 468,016 234,008 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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