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Atlas › Integer Profiles › Node 3,900,510

3,900,510

2 × 32 × 5 × 19 × 2281
Abundant Even Composite

3,900,510 factors as 2 × 3^2 × 5 × 19 × 2281. Its 48 positive divisors give a proper-divisor sum of 6,779,250, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19 × 2281
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,679,760
Proper Divisor Sum 6,779,250
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3900509 ← → #3900517

Radix Representation

Decimal 3900510
Binary 1110111000010001011110 (22 bits)
Octal 0o16702136
Hexadecimal 0x3B845E

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1,710 2,281 4,562 6,843 11,405 13,686 20,529 22,810 34,215 41,058 43,339 68,430 86,678 102,645 130,017 205,290 216,695 260,034 390,051 433,390 650,085 780,102 1,300,170 1,950,255 3,900,510

Collatz Trajectory (97 steps to reach 1)

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

3,900,510 1,950,255 5,850,766 2,925,383 8,776,150 4,388,075 13,164,226 6,582,113 19,746,340 9,873,170 4,936,585 14,809,756 7,404,878 3,702,439 11,107,318 5,553,659 16,660,978 8,330,489 24,991,468 12,495,734 6,247,867 18,743,602 9,371,801 28,115,404 14,057,702 7,028,851 21,086,554 10,543,277 31,629,832 15,814,916 7,907,458 3,953,729 11,861,188 5,930,594 2,965,297 8,895,892 4,447,946 2,223,973 6,671,920 3,335,960 1,667,980 833,990 416,995 1,250,986 625,493 1,876,480 938,240 469,120 234,560 117,280 58,640 29,320 14,660 7,330 3,665 10,996 5,498 2,749 8,248 4,124

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