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Atlas › Integer Profiles › Node 3,230,840

3,230,840

23 × 5 × 372 × 59
Abundant Even Composite

3,230,840 factors as 2^3 × 5 × 37^2 × 59. Its 48 positive divisors give a proper-divisor sum of 4,366,960, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 37^2 × 59
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,597,800
Proper Divisor Sum 4,366,960
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3230831 ← → #3230849

Radix Representation

Decimal 3230840
Binary 1100010100110001111000 (22 bits)
Octal 0o14246170
Hexadecimal 0x314C78

Divisor Catalog (48)

1 2 4 5 8 10 20 37 40 59 74 118 148 185 236 295 296 370 472 590 740 1,180 1,369 1,480 2,183 2,360 2,738 4,366 5,476 6,845 8,732 10,915 10,952 13,690 17,464 21,830 27,380 43,660 54,760 80,771 87,320 161,542 323,084 403,855 646,168 807,710 1,615,420 3,230,840

Collatz Trajectory (208 steps to reach 1)

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

3,230,840 1,615,420 807,710 403,855 1,211,566 605,783 1,817,350 908,675 2,726,026 1,363,013 4,089,040 2,044,520 1,022,260 511,130 255,565 766,696 383,348 191,674 95,837 287,512 143,756 71,878 35,939 107,818 53,909 161,728 80,864 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503

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