9,978,328

2³ × 1247291

Starting at 9,978,328, the Collatz iteration reaches 1 after 357 steps. The first transition is 4989164; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1247291

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 18,709,380

Proper Divisor Sum 8,731,052

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #9978323 ← → #9978341

Radix Representation

Decimal	9978328
Binary	100110000100000111011000 (24 bits)
Octal	0o46040730
Hexadecimal	0x9841D8

Divisor Catalog (8)

1 2 4 8 1,247,291 2,494,582 4,989,164 9,978,328

Collatz Trajectory (357 steps to reach 1)

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

9,978,328 4,989,164 2,494,582 1,247,291 3,741,874 1,870,937 5,612,812 2,806,406 1,403,203 4,209,610 2,104,805 6,314,416 3,157,208 1,578,604 789,302 394,651 1,183,954 591,977 1,775,932 887,966 443,983 1,331,950 665,975 1,997,926 998,963 2,996,890 1,498,445 4,495,336 2,247,668 1,123,834 561,917 1,685,752 842,876 421,438 210,719 632,158 316,079 948,238 474,119 1,422,358 711,179 2,133,538 1,066,769 3,200,308 1,600,154 800,077 2,400,232 1,200,116 600,058 300,029 900,088 450,044 225,022 112,511 337,534 168,767 506,302 253,151 759,454 379,727

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