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45,624,464

24 × 17 × 59 × 2843
Abundant Even Composite

45,624,464 factors as 2^4 × 17 × 59 × 2843. Its 40 positive divisors give a proper-divisor sum of 49,592,656, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 59 × 2843
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 95,217,120
Proper Divisor Sum 49,592,656
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #45624461 ← → #45624473

Radix Representation

Decimal 45624464
Binary 10101110000010110010010000 (26 bits)
Octal 0o256026220
Hexadecimal 0x2B82C90

Divisor Catalog (40)

1 2 4 8 16 17 34 59 68 118 136 236 272 472 944 1,003 2,006 2,843 4,012 5,686 8,024 11,372 16,048 22,744 45,488 48,331 96,662 167,737 193,324 335,474 386,648 670,948 773,296 1,341,896 2,683,792 2,851,529 5,703,058 11,406,116 22,812,232 45,624,464

Collatz Trajectory (191 steps to reach 1)

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

45,624,464 22,812,232 11,406,116 5,703,058 2,851,529 8,554,588 4,277,294 2,138,647 6,415,942 3,207,971 9,623,914 4,811,957 14,435,872 7,217,936 3,608,968 1,804,484 902,242 451,121 1,353,364 676,682 338,341 1,015,024 507,512 253,756 126,878 63,439 190,318 95,159 285,478 142,739 428,218 214,109 642,328 321,164 160,582 80,291 240,874 120,437 361,312 180,656 90,328 45,164 22,582 11,291 33,874 16,937 50,812 25,406 12,703 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235

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