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51,180,650

2 × 52 × 29 × 47 × 751
Deficient Even Composite

51,180,650 factors as 2 × 5^2 × 29 × 47 × 751. Its 48 positive divisors give a proper-divisor sum of 49,527,190, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 29 × 47 × 751
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 100,707,840
Proper Divisor Sum 49,527,190
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #51180631 ← → #51180653

Radix Representation

Decimal 51180650
Binary 11000011001111010001101010 (26 bits)
Octal 0o303172152
Hexadecimal 0x30CF46A

Divisor Catalog (48)

1 2 5 10 25 29 47 50 58 94 145 235 290 470 725 751 1,175 1,363 1,450 1,502 2,350 2,726 3,755 6,815 7,510 13,630 18,775 21,779 34,075 35,297 37,550 43,558 68,150 70,594 108,895 176,485 217,790 352,970 544,475 882,425 1,023,613 1,088,950 1,764,850 2,047,226 5,118,065 10,236,130 25,590,325 51,180,650

Collatz Trajectory (98 steps to reach 1)

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

51,180,650 25,590,325 76,770,976 38,385,488 19,192,744 9,596,372 4,798,186 2,399,093 7,197,280 3,598,640 1,799,320 899,660 449,830 224,915 674,746 337,373 1,012,120 506,060 253,030 126,515 379,546 189,773 569,320 284,660 142,330 71,165 213,496 106,748 53,374 26,687 80,062 40,031 120,094 60,047 180,142 90,071 270,214 135,107 405,322 202,661 607,984 303,992 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634

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