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Atlas › Integer Profiles › Node 3,928,830

3,928,830

2 × 3 × 5 × 173 × 757
Abundant Even Composite

3,928,830 factors as 2 × 3 × 5 × 173 × 757. Its 32 positive divisors give a proper-divisor sum of 5,567,394, so this integer is abundant. The Collatz stopping time is 322 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 173 × 757
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,496,224
Proper Divisor Sum 5,567,394
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3928823 ← → #3928831

Radix Representation

Decimal 3928830
Binary 1110111111001011111110 (22 bits)
Octal 0o16771376
Hexadecimal 0x3BF2FE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 173 346 519 757 865 1,038 1,514 1,730 2,271 2,595 3,785 4,542 5,190 7,570 11,355 22,710 130,961 261,922 392,883 654,805 785,766 1,309,610 1,964,415 3,928,830

Collatz Trajectory (322 steps to reach 1)

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

3,928,830 1,964,415 5,893,246 2,946,623 8,839,870 4,419,935 13,259,806 6,629,903 19,889,710 9,944,855 29,834,566 14,917,283 44,751,850 22,375,925 67,127,776 33,563,888 16,781,944 8,390,972 4,195,486 2,097,743 6,293,230 3,146,615 9,439,846 4,719,923 14,159,770 7,079,885 21,239,656 10,619,828 5,309,914 2,654,957 7,964,872 3,982,436 1,991,218 995,609 2,986,828 1,493,414 746,707 2,240,122 1,120,061 3,360,184 1,680,092 840,046 420,023 1,260,070 630,035 1,890,106 945,053 2,835,160 1,417,580 708,790 354,395 1,063,186 531,593 1,594,780 797,390 398,695 1,196,086 598,043 1,794,130 897,065

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