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51,144,264

23 × 33 × 236779
Abundant Even Composite

51,144,264 factors as 2^3 × 3^3 × 236779. Its 32 positive divisors give a proper-divisor sum of 90,923,736, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 236779
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 142,068,000
Proper Divisor Sum 90,923,736
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #51144263 ← → #51144277

Radix Representation

Decimal 51144264
Binary 11000011000110011001001000 (26 bits)
Octal 0o303063110
Hexadecimal 0x30C6648

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 236,779 473,558 710,337 947,116 1,420,674 1,894,232 2,131,011 2,841,348 4,262,022 5,682,696 6,393,033 8,524,044 12,786,066 17,048,088 25,572,132 51,144,264

Collatz Trajectory (212 steps to reach 1)

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

51,144,264 25,572,132 12,786,066 6,393,033 19,179,100 9,589,550 4,794,775 14,384,326 7,192,163 21,576,490 10,788,245 32,364,736 16,182,368 8,091,184 4,045,592 2,022,796 1,011,398 505,699 1,517,098 758,549 2,275,648 1,137,824 568,912 284,456 142,228 71,114 35,557 106,672 53,336 26,668 13,334 6,667 20,002 10,001 30,004 15,002 7,501 22,504 11,252 5,626 2,813 8,440 4,220 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022

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