3,909,150

2 × 3² × 5² × 7 × 17 × 73

3,909,150 factors as 2 × 3^2 × 5^2 × 7 × 17 × 73. Its 144 positive divisors give a proper-divisor sum of 8,973,954, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 7 × 17 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 12,883,104

Proper Divisor Sum 8,973,954

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3909127 ← → #3909179

Radix Representation

Decimal	3909150
Binary	1110111010011000011110 (22 bits)
Octal	0o16723036
Hexadecimal	0x3BA61E

Divisor Catalog (60 of 144)

1 2 3 5 6 7 9 10 14 15 17 18 21 25 30 34 35 42 45 50 51 63 70 73 75 85 90 102 105 119 126 146 150 153 170 175 210 219 225 238 255 306 315 350 357 365 425 438 450 510 511 525 595 630 657 714 730 765 850 1,022

Collatz Trajectory (154 steps to reach 1)

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

3,909,150 1,954,575 5,863,726 2,931,863 8,795,590 4,397,795 13,193,386 6,596,693 19,790,080 9,895,040 4,947,520 2,473,760 1,236,880 618,440 309,220 154,610 77,305 231,916 115,958 57,979 173,938 86,969 260,908 130,454 65,227 195,682 97,841 293,524 146,762 73,381 220,144 110,072 55,036 27,518 13,759 41,278 20,639 61,918 30,959 92,878 46,439 139,318 69,659 208,978 104,489 313,468 156,734 78,367 235,102 117,551 352,654 176,327 528,982 264,491 793,474 396,737 1,190,212 595,106 297,553 892,660

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