λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,720,175
27,720,175
52 × 7 × 23 × 71 × 97
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7 × 23 × 71 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 41,997,312
Proper Divisor Sum 14,277,137
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #27720167 ← → #27720191

Radix Representation

Decimal 27720175
Binary 1101001101111100111101111 (25 bits)
Octal 0o151574757
Hexadecimal 0x1A6F9EF

Divisor Catalog (48)

1 5 7 23 25 35 71 97 115 161 175 355 485 497 575 679 805 1,633 1,775 2,231 2,425 2,485 3,395 4,025 6,887 8,165 11,155 11,431 12,425 15,617 16,975 34,435 40,825 48,209 55,775 57,155 78,085 158,401 172,175 241,045 285,775 390,425 792,005 1,108,807 1,205,225 3,960,025 5,544,035 27,720,175

Collatz Trajectory (237 steps to reach 1)

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

27,720,175 83,160,526 41,580,263 124,740,790 62,370,395 187,111,186 93,555,593 280,666,780 140,333,390 70,166,695 210,500,086 105,250,043 315,750,130 157,875,065 473,625,196 236,812,598 118,406,299 355,218,898 177,609,449 532,828,348 266,414,174 133,207,087 399,621,262 199,810,631 599,431,894 299,715,947 899,147,842 449,573,921 1,348,721,764 674,360,882 337,180,441 1,011,541,324 505,770,662 252,885,331 758,655,994 379,327,997 1,137,983,992 568,991,996 284,495,998 142,247,999 426,743,998 213,371,999 640,115,998 320,057,999 960,173,998 480,086,999 1,440,260,998 720,130,499 2,160,391,498 1,080,195,749 3,240,587,248 1,620,293,624 810,146,812 405,073,406 202,536,703 607,610,110 303,805,055 911,415,166 455,707,583 1,367,122,750

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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