9,923,288

2³ × 193 × 6427

Starting at 9,923,288, the Collatz iteration reaches 1 after 238 steps. The first transition is 4961644; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 193 × 6427

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,705,480

Proper Divisor Sum 8,782,192

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #9923279 ← → #9923299

Radix Representation

Decimal	9923288
Binary	100101110110101011011000 (24 bits)
Octal	0o45665330
Hexadecimal	0x976AD8

Divisor Catalog (16)

1 2 4 8 193 386 772 1,544 6,427 12,854 25,708 51,416 1,240,411 2,480,822 4,961,644 9,923,288

Collatz Trajectory (238 steps to reach 1)

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

9,923,288 4,961,644 2,480,822 1,240,411 3,721,234 1,860,617 5,581,852 2,790,926 1,395,463 4,186,390 2,093,195 6,279,586 3,139,793 9,419,380 4,709,690 2,354,845 7,064,536 3,532,268 1,766,134 883,067 2,649,202 1,324,601 3,973,804 1,986,902 993,451 2,980,354 1,490,177 4,470,532 2,235,266 1,117,633 3,352,900 1,676,450 838,225 2,514,676 1,257,338 628,669 1,886,008 943,004 471,502 235,751 707,254 353,627 1,060,882 530,441 1,591,324 795,662 397,831 1,193,494 596,747 1,790,242 895,121 2,685,364 1,342,682 671,341 2,014,024 1,007,012 503,506 251,753 755,260 377,630

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