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Ratio Atlas
Atlas › Integer Profiles › Node 51,175,755
51,175,755
32 × 5 × 857 × 1327
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 857 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 88,875,072
Proper Divisor Sum 37,699,317
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #51175753 ← → #51175757

Radix Representation

Decimal 51175755
Binary 11000011001110000101001011 (26 bits)
Octal 0o303160513
Hexadecimal 0x30CE14B

Divisor Catalog (24)

1 3 5 9 15 45 857 1,327 2,571 3,981 4,285 6,635 7,713 11,943 12,855 19,905 38,565 59,715 1,137,239 3,411,717 5,686,195 10,235,151 17,058,585 51,175,755

Collatz Trajectory (137 steps to reach 1)

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

51,175,755 153,527,266 76,763,633 230,290,900 115,145,450 57,572,725 172,718,176 86,359,088 43,179,544 21,589,772 10,794,886 5,397,443 16,192,330 8,096,165 24,288,496 12,144,248 6,072,124 3,036,062 1,518,031 4,554,094 2,277,047 6,831,142 3,415,571 10,246,714 5,123,357 15,370,072 7,685,036 3,842,518 1,921,259 5,763,778 2,881,889 8,645,668 4,322,834 2,161,417 6,484,252 3,242,126 1,621,063 4,863,190 2,431,595 7,294,786 3,647,393 10,942,180 5,471,090 2,735,545 8,206,636 4,103,318 2,051,659 6,154,978 3,077,489 9,232,468 4,616,234 2,308,117 6,924,352 3,462,176 1,731,088 865,544 432,772 216,386 108,193 324,580

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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