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4,440,420

22 × 34 × 5 × 2741
Abundant Even Composite

4,440,420 factors as 2^2 × 3^4 × 5 × 2741. Its 60 positive divisors give a proper-divisor sum of 9,494,424, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5 × 2741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 13,934,844
Proper Divisor Sum 9,494,424
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4440413 ← → #4440421

Radix Representation

Decimal 4440420
Binary 10000111100000101100100 (23 bits)
Octal 0o20740544
Hexadecimal 0x43C164

Divisor Catalog (60)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1,620 2,741 5,482 8,223 10,964 13,705 16,446 24,669 27,410 32,892 41,115 49,338 54,820 74,007 82,230 98,676 123,345 148,014 164,460 222,021 246,690 296,028 370,035 444,042 493,380 740,070 888,084 1,110,105 1,480,140 2,220,210 4,440,420

Collatz Trajectory (167 steps to reach 1)

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

4,440,420 2,220,210 1,110,105 3,330,316 1,665,158 832,579 2,497,738 1,248,869 3,746,608 1,873,304 936,652 468,326 234,163 702,490 351,245 1,053,736 526,868 263,434 131,717 395,152 197,576 98,788 49,394 24,697 74,092 37,046 18,523 55,570 27,785 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168

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