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Atlas › Integer Profiles › Node 9,503,850

9,503,850

2 × 3 × 52 × 17 × 3727
Abundant Even Composite

9,503,850 factors as 2 × 3 × 5^2 × 17 × 3727. Its 48 positive divisors give a proper-divisor sum of 15,458,838, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 17 × 3727
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,962,688
Proper Divisor Sum 15,458,838
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9503843 ← → #9503869

Radix Representation

Decimal 9503850
Binary 100100010000010001101010 (24 bits)
Octal 0o44202152
Hexadecimal 0x91046A

Divisor Catalog (48)

1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1,275 2,550 3,727 7,454 11,181 18,635 22,362 37,270 55,905 63,359 93,175 111,810 126,718 186,350 190,077 279,525 316,795 380,154 559,050 633,590 950,385 1,583,975 1,900,770 3,167,950 4,751,925 9,503,850

Collatz Trajectory (119 steps to reach 1)

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

9,503,850 4,751,925 14,255,776 7,127,888 3,563,944 1,781,972 890,986 445,493 1,336,480 668,240 334,120 167,060 83,530 41,765 125,296 62,648 31,324 15,662 7,831 23,494 11,747 35,242 17,621 52,864 26,432 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283

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