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4,848,864

25 × 3 × 53 × 953
Abundant Even Composite

4,848,864 factors as 2^5 × 3 × 53 × 953. Its 48 positive divisors give a proper-divisor sum of 8,133,168, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 53 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,982,032
Proper Divisor Sum 8,133,168
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4848847 ← → #4848869

Radix Representation

Decimal 4848864
Binary 10010011111110011100000 (23 bits)
Octal 0o22376340
Hexadecimal 0x49FCE0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 953 1,272 1,696 1,906 2,544 2,859 3,812 5,088 5,718 7,624 11,436 15,248 22,872 30,496 45,744 50,509 91,488 101,018 151,527 202,036 303,054 404,072 606,108 808,144 1,212,216 1,616,288 2,424,432 4,848,864

Collatz Trajectory (162 steps to reach 1)

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

4,848,864 2,424,432 1,212,216 606,108 303,054 151,527 454,582 227,291 681,874 340,937 1,022,812 511,406 255,703 767,110 383,555 1,150,666 575,333 1,726,000 863,000 431,500 215,750 107,875 323,626 161,813 485,440 242,720 121,360 60,680 30,340 15,170 7,585 22,756 11,378 5,689 17,068 8,534 4,267 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143

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