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Ratio Atlas
Atlas › Integer Profiles › Node 3,913,040

3,913,040

24 × 5 × 41 × 1193
Abundant Even Composite

3,913,040 factors as 2^4 × 5 × 41 × 1193. Its 40 positive divisors give a proper-divisor sum of 5,414,488, so this integer is abundant. The Collatz stopping time is 40 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 41 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,327,528
Proper Divisor Sum 5,414,488
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3913033 ← → #3913051

Radix Representation

Decimal 3913040
Binary 1110111011010101010000 (22 bits)
Octal 0o16732520
Hexadecimal 0x3BB550

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1,193 1,640 2,386 3,280 4,772 5,965 9,544 11,930 19,088 23,860 47,720 48,913 95,440 97,826 195,652 244,565 391,304 489,130 782,608 978,260 1,956,520 3,913,040

Collatz Trajectory (40 steps to reach 1)

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

3,913,040 1,956,520 978,260 489,130 244,565 733,696 366,848 183,424 91,712 45,856 22,928 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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