9,438,858

2 × 3² × 11 × 13 × 19 × 193

Starting at 9,438,858, the Collatz iteration reaches 1 after 101 steps. The first transition is 4719429; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 13 × 19 × 193

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 25,421,760

Proper Divisor Sum 15,982,902

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9438853 ← → #9438881

Radix Representation

Decimal	9438858
Binary	100100000000011010001010 (24 bits)
Octal	0o44003212
Hexadecimal	0x90068A

Divisor Catalog (60 of 96)

1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 193 198 209 234 247 286 342 386 418 429 494 579 627 741 858 1,158 1,254 1,287 1,482 1,737 1,881 2,123 2,223 2,509 2,574 2,717 3,474 3,667 3,762 4,246 4,446 5,018 5,434 6,369 7,334 7,527 8,151 11,001

Collatz Trajectory (101 steps to reach 1)

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

9,438,858 4,719,429 14,158,288 7,079,144 3,539,572 1,769,786 884,893 2,654,680 1,327,340 663,670 331,835 995,506 497,753 1,493,260 746,630 373,315 1,119,946 559,973 1,679,920 839,960 419,980 209,990 104,995 314,986 157,493 472,480 236,240 118,120 59,060 29,530 14,765 44,296 22,148 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278

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