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Atlas › Integer Profiles › Node 3,928,368

3,928,368

24 × 3 × 223 × 367
Abundant Even Composite

3,928,368 factors as 2^4 × 3 × 223 × 367. Its 40 positive divisors give a proper-divisor sum of 6,293,200, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 223 × 367
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,221,568
Proper Divisor Sum 6,293,200
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3928367 ← → #3928373

Radix Representation

Decimal 3928368
Binary 1110111111000100110000 (22 bits)
Octal 0o16770460
Hexadecimal 0x3BF130

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 223 367 446 669 734 892 1,101 1,338 1,468 1,784 2,202 2,676 2,936 3,568 4,404 5,352 5,872 8,808 10,704 17,616 81,841 163,682 245,523 327,364 491,046 654,728 982,092 1,309,456 1,964,184 3,928,368

Collatz Trajectory (79 steps to reach 1)

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

3,928,368 1,964,184 982,092 491,046 245,523 736,570 368,285 1,104,856 552,428 276,214 138,107 414,322 207,161 621,484 310,742 155,371 466,114 233,057 699,172 349,586 174,793 524,380 262,190 131,095 393,286 196,643 589,930 294,965 884,896 442,448 221,224 110,612 55,306 27,653 82,960 41,480 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308 154 77 232 116

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