9,746,352

2⁴ × 3³ × 7 × 11 × 293

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 11 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 34,997,760

Proper Divisor Sum 25,251,408

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9746351 ← → #9746353

Radix Representation

Decimal	9746352
Binary	100101001011011110110000 (24 bits)
Octal	0o45133660
Hexadecimal	0x94B7B0

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 293 297 308 336 378 396 432 462 504 528 586 594 616 693

Collatz Trajectory (199 steps to reach 1)

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

9,746,352 4,873,176 2,436,588 1,218,294 609,147 1,827,442 913,721 2,741,164 1,370,582 685,291 2,055,874 1,027,937 3,083,812 1,541,906 770,953 2,312,860 1,156,430 578,215 1,734,646 867,323 2,601,970 1,300,985 3,902,956 1,951,478 975,739 2,927,218 1,463,609 4,390,828 2,195,414 1,097,707 3,293,122 1,646,561 4,939,684 2,469,842 1,234,921 3,704,764 1,852,382 926,191 2,778,574 1,389,287 4,167,862 2,083,931 6,251,794 3,125,897 9,377,692 4,688,846 2,344,423 7,033,270 3,516,635 10,549,906 5,274,953 15,824,860 7,912,430 3,956,215 11,868,646 5,934,323 17,802,970 8,901,485 26,704,456 13,352,228

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