λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,147,130
51,147,130
2 × 5 × 67 × 97 × 787
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 67 × 97 × 787
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,522,176
Proper Divisor Sum 43,375,046
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #51147127 ← → #51147133

Radix Representation

Decimal 51147130
Binary 11000011000111000101111010 (26 bits)
Octal 0o303070572
Hexadecimal 0x30C717A

Divisor Catalog (32)

1 2 5 10 67 97 134 194 335 485 670 787 970 1,574 3,935 6,499 7,870 12,998 32,495 52,729 64,990 76,339 105,458 152,678 263,645 381,695 527,290 763,390 5,114,713 10,229,426 25,573,565 51,147,130

Collatz Trajectory (124 steps to reach 1)

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

51,147,130 25,573,565 76,720,696 38,360,348 19,180,174 9,590,087 28,770,262 14,385,131 43,155,394 21,577,697 64,733,092 32,366,546 16,183,273 48,549,820 24,274,910 12,137,455 36,412,366 18,206,183 54,618,550 27,309,275 81,927,826 40,963,913 122,891,740 61,445,870 30,722,935 92,168,806 46,084,403 138,253,210 69,126,605 207,379,816 103,689,908 51,844,954 25,922,477 77,767,432 38,883,716 19,441,858 9,720,929 29,162,788 14,581,394 7,290,697 21,872,092 10,936,046 5,468,023 16,404,070 8,202,035 24,606,106 12,303,053 36,909,160 18,454,580 9,227,290 4,613,645 13,840,936 6,920,468 3,460,234 1,730,117 5,190,352 2,595,176 1,297,588 648,794 324,397

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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