9,744,150

2 × 3 × 5² × 13 × 19 × 263

9,744,150 factors as 2 × 3 × 5^2 × 13 × 19 × 263. Its 96 positive divisors give a proper-divisor sum of 17,754,090, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 13 × 19 × 263

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,498,240

Proper Divisor Sum 17,754,090

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9744149 ← → #9744151

Radix Representation

Decimal	9744150
Binary	100101001010111100010110 (24 bits)
Octal	0o45127426
Hexadecimal	0x94AF16

Divisor Catalog (60 of 96)

1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 190 195 247 263 285 325 390 475 494 526 570 650 741 789 950 975 1,235 1,315 1,425 1,482 1,578 1,950 2,470 2,630 2,850 3,419 3,705 3,945 4,997 6,175 6,575 6,838 7,410 7,890 9,994 10,257 12,350

Collatz Trajectory (194 steps to reach 1)

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

9,744,150 4,872,075 14,616,226 7,308,113 21,924,340 10,962,170 5,481,085 16,443,256 8,221,628 4,110,814 2,055,407 6,166,222 3,083,111 9,249,334 4,624,667 13,874,002 6,937,001 20,811,004 10,405,502 5,202,751 15,608,254 7,804,127 23,412,382 11,706,191 35,118,574 17,559,287 52,677,862 26,338,931 79,016,794 39,508,397 118,525,192 59,262,596 29,631,298 14,815,649 44,446,948 22,223,474 11,111,737 33,335,212 16,667,606 8,333,803 25,001,410 12,500,705 37,502,116 18,751,058 9,375,529 28,126,588 14,063,294 7,031,647 21,094,942 10,547,471 31,642,414 15,821,207 47,463,622 23,731,811 71,195,434 35,597,717 106,793,152 53,396,576 26,698,288 13,349,144

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