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Atlas › Integer Profiles › Node 43,812,650

43,812,650

2 × 52 × 7 × 151 × 829
Abundant Even Composite

43,812,650 factors as 2 × 5^2 × 7 × 151 × 829. Its 48 positive divisors give a proper-divisor sum of 50,050,390, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 151 × 829
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 93,863,040
Proper Divisor Sum 50,050,390
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #43812623 ← → #43812683

Radix Representation

Decimal 43812650
Binary 10100111001000011100101010 (26 bits)
Octal 0o247103452
Hexadecimal 0x29C872A

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 151 175 302 350 755 829 1,057 1,510 1,658 2,114 3,775 4,145 5,285 5,803 7,550 8,290 10,570 11,606 20,725 26,425 29,015 41,450 52,850 58,030 125,179 145,075 250,358 290,150 625,895 876,253 1,251,790 1,752,506 3,129,475 4,381,265 6,258,950 8,762,530 21,906,325 43,812,650

Collatz Trajectory (235 steps to reach 1)

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

43,812,650 21,906,325 65,718,976 32,859,488 16,429,744 8,214,872 4,107,436 2,053,718 1,026,859 3,080,578 1,540,289 4,620,868 2,310,434 1,155,217 3,465,652 1,732,826 866,413 2,599,240 1,299,620 649,810 324,905 974,716 487,358 243,679 731,038 365,519 1,096,558 548,279 1,644,838 822,419 2,467,258 1,233,629 3,700,888 1,850,444 925,222 462,611 1,387,834 693,917 2,081,752 1,040,876 520,438 260,219 780,658 390,329 1,170,988 585,494 292,747 878,242 439,121 1,317,364 658,682 329,341 988,024 494,012 247,006 123,503 370,510 185,255 555,766 277,883

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