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Atlas › Integer Profiles › Node 3,963,190

3,963,190

2 × 5 × 7 × 11 × 5147
Abundant Even Composite

3,963,190 factors as 2 × 5 × 7 × 11 × 5147. Its 32 positive divisors give a proper-divisor sum of 4,932,554, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 5147
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,895,744
Proper Divisor Sum 4,932,554
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3963161 ← → #3963209

Radix Representation

Decimal 3963190
Binary 1111000111100100110110 (22 bits)
Octal 0o17074466
Hexadecimal 0x3C7936

Divisor Catalog (32)

1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 5,147 10,294 25,735 36,029 51,470 56,617 72,058 113,234 180,145 283,085 360,290 396,319 566,170 792,638 1,981,595 3,963,190

Collatz Trajectory (167 steps to reach 1)

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

3,963,190 1,981,595 5,944,786 2,972,393 8,917,180 4,458,590 2,229,295 6,687,886 3,343,943 10,031,830 5,015,915 15,047,746 7,523,873 22,571,620 11,285,810 5,642,905 16,928,716 8,464,358 4,232,179 12,696,538 6,348,269 19,044,808 9,522,404 4,761,202 2,380,601 7,141,804 3,570,902 1,785,451 5,356,354 2,678,177 8,034,532 4,017,266 2,008,633 6,025,900 3,012,950 1,506,475 4,519,426 2,259,713 6,779,140 3,389,570 1,694,785 5,084,356 2,542,178 1,271,089 3,813,268 1,906,634 953,317 2,859,952 1,429,976 714,988 357,494 178,747 536,242 268,121 804,364 402,182 201,091 603,274 301,637 904,912

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