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Atlas › Integer Profiles › Node 3,944,220

3,944,220

22 × 3 × 5 × 7 × 9391
Abundant Even Composite

3,944,220 factors as 2^2 × 3 × 5 × 7 × 9391. Its 48 positive divisors give a proper-divisor sum of 8,678,628, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 9391
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,622,848
Proper Divisor Sum 8,678,628
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3944219 ← → #3944231

Radix Representation

Decimal 3944220
Binary 1111000010111100011100 (22 bits)
Octal 0o17027434
Hexadecimal 0x3C2F1C

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 9,391 18,782 28,173 37,564 46,955 56,346 65,737 93,910 112,692 131,474 140,865 187,820 197,211 262,948 281,730 328,685 394,422 563,460 657,370 788,844 986,055 1,314,740 1,972,110 3,944,220

Collatz Trajectory (216 steps to reach 1)

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

3,944,220 1,972,110 986,055 2,958,166 1,479,083 4,437,250 2,218,625 6,655,876 3,327,938 1,663,969 4,991,908 2,495,954 1,247,977 3,743,932 1,871,966 935,983 2,807,950 1,403,975 4,211,926 2,105,963 6,317,890 3,158,945 9,476,836 4,738,418 2,369,209 7,107,628 3,553,814 1,776,907 5,330,722 2,665,361 7,996,084 3,998,042 1,999,021 5,997,064 2,998,532 1,499,266 749,633 2,248,900 1,124,450 562,225 1,686,676 843,338 421,669 1,265,008 632,504 316,252 158,126 79,063 237,190 118,595 355,786 177,893 533,680 266,840 133,420 66,710 33,355 100,066 50,033 150,100

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