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4,587,712

26 × 97 × 739
Abundant Even Composite

4,587,712 factors as 2^6 × 97 × 739. Its 28 positive divisors give a proper-divisor sum of 4,622,328, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^6 × 97 × 739
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 9,210,040
Proper Divisor Sum 4,622,328
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4587703 ← → #4587731

Radix Representation

Decimal 4587712
Binary 10001100000000011000000 (23 bits)
Octal 0o21400300
Hexadecimal 0x4600C0

Divisor Catalog (28)

1 2 4 8 16 32 64 97 194 388 739 776 1,478 1,552 2,956 3,104 5,912 6,208 11,824 23,648 47,296 71,683 143,366 286,732 573,464 1,146,928 2,293,856 4,587,712

Collatz Trajectory (100 steps to reach 1)

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

4,587,712 2,293,856 1,146,928 573,464 286,732 143,366 71,683 215,050 107,525 322,576 161,288 80,644 40,322 20,161 60,484 30,242 15,121 45,364 22,682 11,341 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814

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