9,482,688

2⁶ × 3² × 101 × 163

Starting at 9,482,688, the Collatz iteration reaches 1 after 150 steps. The first transition is 4741344; the starting value is even with 84 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 101 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 27,617,928

Proper Divisor Sum 18,135,240

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9482687 ← → #9482699

Radix Representation

Decimal	9482688
Binary	100100001011000111000000 (24 bits)
Octal	0o44130700
Hexadecimal	0x90B1C0

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 144 163 192 202 288 303 326 404 489 576 606 652 808 909 978 1,212 1,304 1,467 1,616 1,818 1,956 2,424 2,608 2,934 3,232 3,636 3,912 4,848 5,216 5,868 6,464 7,272 7,824 9,696 10,432 11,736 14,544 15,648 16,463 19,392 23,472 29,088

Collatz Trajectory (150 steps to reach 1)

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

9,482,688 4,741,344 2,370,672 1,185,336 592,668 296,334 148,167 444,502 222,251 666,754 333,377 1,000,132 500,066 250,033 750,100 375,050 187,525 562,576 281,288 140,644 70,322 35,161 105,484 52,742 26,371 79,114 39,557 118,672 59,336 29,668 14,834 7,417 22,252 11,126 5,563 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673

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