9,504,810

2 × 3³ × 5 × 7 × 47 × 107

9,504,810 factors as 2 × 3^3 × 5 × 7 × 47 × 107. Its 128 positive divisors give a proper-divisor sum of 20,355,030, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 47 × 107

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 29,859,840

Proper Divisor Sum 20,355,030

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9504809 ← → #9504823

Radix Representation

Decimal	9504810
Binary	100100010000100000101010 (24 bits)
Octal	0o44204052
Hexadecimal	0x91082A

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 47 54 63 70 90 94 105 107 126 135 141 189 210 214 235 270 282 315 321 329 378 423 470 535 630 642 658 705 749 846 945 963 987 1,070 1,269 1,410 1,498 1,605 1,645 1,890 1,926 1,974 2,115

Collatz Trajectory (194 steps to reach 1)

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

9,504,810 4,752,405 14,257,216 7,128,608 3,564,304 1,782,152 891,076 445,538 222,769 668,308 334,154 167,077 501,232 250,616 125,308 62,654 31,327 93,982 46,991 140,974 70,487 211,462 105,731 317,194 158,597 475,792 237,896 118,948 59,474 29,737 89,212 44,606 22,303 66,910 33,455 100,366 50,183 150,550 75,275 225,826 112,913 338,740 169,370 84,685 254,056 127,028 63,514 31,757 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675

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