9,304,848

2⁴ × 3³ × 7 × 17 × 181

9,304,848 factors as 2^4 × 3^3 × 7 × 17 × 181. Its 160 positive divisors give a proper-divisor sum of 23,193,072, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7 × 17 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 32,497,920

Proper Divisor Sum 23,193,072

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9304819 ← → #9304849

Radix Representation

Decimal	9304848
Binary	100011011111101100010000 (24 bits)
Octal	0o43375420
Hexadecimal	0x8DFB10

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 181 189 204 216 238 252 272 306 336 357 362 378 408 432 459 476 504 543 612 714 724 756 816

Collatz Trajectory (75 steps to reach 1)

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

9,304,848 4,652,424 2,326,212 1,163,106 581,553 1,744,660 872,330 436,165 1,308,496 654,248 327,124 163,562 81,781 245,344 122,672 61,336 30,668 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

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