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Atlas › Integer Profiles › Node 3,933,200

3,933,200

24 × 52 × 9833
Abundant Even Composite

3,933,200 factors as 2^4 × 5^2 × 9833. Its 30 positive divisors give a proper-divisor sum of 5,517,274, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 9833
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 9,450,474
Proper Divisor Sum 5,517,274
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3933199 ← → #3933203

Radix Representation

Decimal 3933200
Binary 1111000000010000010000 (22 bits)
Octal 0o17002020
Hexadecimal 0x3C0410

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 9,833 19,666 39,332 49,165 78,664 98,330 157,328 196,660 245,825 393,320 491,650 786,640 983,300 1,966,600 3,933,200

Collatz Trajectory (172 steps to reach 1)

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

3,933,200 1,966,600 983,300 491,650 245,825 737,476 368,738 184,369 553,108 276,554 138,277 414,832 207,416 103,708 51,854 25,927 77,782 38,891 116,674 58,337 175,012 87,506 43,753 131,260 65,630 32,815 98,446 49,223 147,670 73,835 221,506 110,753 332,260 166,130 83,065 249,196 124,598 62,299 186,898 93,449 280,348 140,174 70,087 210,262 105,131 315,394 157,697 473,092 236,546 118,273 354,820 177,410 88,705 266,116 133,058 66,529 199,588 99,794 49,897 149,692

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