9,636,264

2³ × 3² × 11 × 23³

Starting at 9,636,264, the Collatz iteration reaches 1 after 163 steps. The first transition is 4818132; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 23^3

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 29,764,800

Proper Divisor Sum 20,128,536

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9636251 ← → #9636281

Radix Representation

Decimal	9636264
Binary	100100110000100110101000 (24 bits)
Octal	0o44604650
Hexadecimal	0x9309A8

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 529 552 759 792 828 1,012 1,058 1,518 1,587 1,656 2,024 2,116 2,277 3,036 3,174 4,232 4,554 4,761 5,819 6,072 6,348 9,108 9,522 11,638 12,167 12,696

Collatz Trajectory (163 steps to reach 1)

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

9,636,264 4,818,132 2,409,066 1,204,533 3,613,600 1,806,800 903,400 451,700 225,850 112,925 338,776 169,388 84,694 42,347 127,042 63,521 190,564 95,282 47,641 142,924 71,462 35,731 107,194 53,597 160,792 80,396 40,198 20,099 60,298 30,149 90,448 45,224 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

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