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Atlas › Integer Profiles › Node 3,930,700

3,930,700

22 × 52 × 23 × 1709
Abundant Even Composite

3,930,700 factors as 2^2 × 5^2 × 23 × 1709. Its 36 positive divisors give a proper-divisor sum of 4,974,980, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 23 × 1709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,905,680
Proper Divisor Sum 4,974,980
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3930683 ← → #3930709

Radix Representation

Decimal 3930700
Binary 1110111111101001001100 (22 bits)
Octal 0o16775114
Hexadecimal 0x3BFA4C

Divisor Catalog (36)

1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1,150 1,709 2,300 3,418 6,836 8,545 17,090 34,180 39,307 42,725 78,614 85,450 157,228 170,900 196,535 393,070 786,140 982,675 1,965,350 3,930,700

Collatz Trajectory (185 steps to reach 1)

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

3,930,700 1,965,350 982,675 2,948,026 1,474,013 4,422,040 2,211,020 1,105,510 552,755 1,658,266 829,133 2,487,400 1,243,700 621,850 310,925 932,776 466,388 233,194 116,597 349,792 174,896 87,448 43,724 21,862 10,931 32,794 16,397 49,192 24,596 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695

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