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4,433,340

22 × 3 × 5 × 37 × 1997
Abundant Even Composite

4,433,340 factors as 2^2 × 3 × 5 × 37 × 1997. Its 48 positive divisors give a proper-divisor sum of 8,321,892, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 37 × 1997
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,755,232
Proper Divisor Sum 8,321,892
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4433339 ← → #4433381

Radix Representation

Decimal 4433340
Binary 10000111010010110111100 (23 bits)
Octal 0o20722674
Hexadecimal 0x43A5BC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1,110 1,997 2,220 3,994 5,991 7,988 9,985 11,982 19,970 23,964 29,955 39,940 59,910 73,889 119,820 147,778 221,667 295,556 369,445 443,334 738,890 886,668 1,108,335 1,477,780 2,216,670 4,433,340

Collatz Trajectory (180 steps to reach 1)

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

4,433,340 2,216,670 1,108,335 3,325,006 1,662,503 4,987,510 2,493,755 7,481,266 3,740,633 11,221,900 5,610,950 2,805,475 8,416,426 4,208,213 12,624,640 6,312,320 3,156,160 1,578,080 789,040 394,520 197,260 98,630 49,315 147,946 73,973 221,920 110,960 55,480 27,740 13,870 6,935 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696

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