λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,132,231
6,132,231
32 × 7 × 19 × 47 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 47 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,982,400
Proper Divisor Sum 4,850,169
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6132229 ← → #6132233

Radix Representation

Decimal 6132231
Binary 10111011001001000000111 (23 bits)
Octal 0o27311007
Hexadecimal 0x5D9207

Divisor Catalog (48)

1 3 7 9 19 21 47 57 63 109 133 141 171 327 329 399 423 763 893 981 987 1,197 2,071 2,289 2,679 2,961 5,123 6,213 6,251 6,867 8,037 14,497 15,369 18,639 18,753 35,861 43,491 46,107 56,259 97,337 107,583 130,473 292,011 322,749 681,359 876,033 2,044,077 6,132,231

Collatz Trajectory (165 steps to reach 1)

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

6,132,231 18,396,694 9,198,347 27,595,042 13,797,521 41,392,564 20,696,282 10,348,141 31,044,424 15,522,212 7,761,106 3,880,553 11,641,660 5,820,830 2,910,415 8,731,246 4,365,623 13,096,870 6,548,435 19,645,306 9,822,653 29,467,960 14,733,980 7,366,990 3,683,495 11,050,486 5,525,243 16,575,730 8,287,865 24,863,596 12,431,798 6,215,899 18,647,698 9,323,849 27,971,548 13,985,774 6,992,887 20,978,662 10,489,331 31,467,994 15,733,997 47,201,992 23,600,996 11,800,498 5,900,249 17,700,748 8,850,374 4,425,187 13,275,562 6,637,781 19,913,344 9,956,672 4,978,336 2,489,168 1,244,584 622,292 311,146 155,573 466,720 233,360

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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