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Atlas › Integer Profiles › Node 3,921,144

3,921,144

23 × 3 × 19 × 8599
Abundant Even Composite

3,921,144 factors as 2^3 × 3 × 19 × 8599. Its 32 positive divisors give a proper-divisor sum of 6,398,856, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19 × 8599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,320,000
Proper Divisor Sum 6,398,856
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3921143 ← → #3921161

Radix Representation

Decimal 3921144
Binary 1110111101010011111000 (22 bits)
Octal 0o16752370
Hexadecimal 0x3BD4F8

Divisor Catalog (32)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 8,599 17,198 25,797 34,396 51,594 68,792 103,188 163,381 206,376 326,762 490,143 653,524 980,286 1,307,048 1,960,572 3,921,144

Collatz Trajectory (172 steps to reach 1)

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

3,921,144 1,960,572 980,286 490,143 1,470,430 735,215 2,205,646 1,102,823 3,308,470 1,654,235 4,962,706 2,481,353 7,444,060 3,722,030 1,861,015 5,583,046 2,791,523 8,374,570 4,187,285 12,561,856 6,280,928 3,140,464 1,570,232 785,116 392,558 196,279 588,838 294,419 883,258 441,629 1,324,888 662,444 331,222 165,611 496,834 248,417 745,252 372,626 186,313 558,940 279,470 139,735 419,206 209,603 628,810 314,405 943,216 471,608 235,804 117,902 58,951 176,854 88,427 265,282 132,641 397,924 198,962 99,481 298,444 149,222

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