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6,923,744

25 × 61 × 3547
Abundant Even Composite

6,923,744 factors as 2^5 × 61 × 3547. Its 24 positive divisors give a proper-divisor sum of 6,934,744, so this integer is abundant. The Collatz stopping time is 390 steps.

Prime Factor Structure

Factorization String 2^5 × 61 × 3547
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,858,488
Proper Divisor Sum 6,934,744
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6923737 ← → #6923747

Radix Representation

Decimal 6923744
Binary 11010011010010111100000 (23 bits)
Octal 0o32322740
Hexadecimal 0x69A5E0

Divisor Catalog (24)

1 2 4 8 16 32 61 122 244 488 976 1,952 3,547 7,094 14,188 28,376 56,752 113,504 216,367 432,734 865,468 1,730,936 3,461,872 6,923,744

Collatz Trajectory (390 steps to reach 1)

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

6,923,744 3,461,872 1,730,936 865,468 432,734 216,367 649,102 324,551 973,654 486,827 1,460,482 730,241 2,190,724 1,095,362 547,681 1,643,044 821,522 410,761 1,232,284 616,142 308,071 924,214 462,107 1,386,322 693,161 2,079,484 1,039,742 519,871 1,559,614 779,807 2,339,422 1,169,711 3,509,134 1,754,567 5,263,702 2,631,851 7,895,554 3,947,777 11,843,332 5,921,666 2,960,833 8,882,500 4,441,250 2,220,625 6,661,876 3,330,938 1,665,469 4,996,408 2,498,204 1,249,102 624,551 1,873,654 936,827 2,810,482 1,405,241 4,215,724 2,107,862 1,053,931 3,161,794 1,580,897

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