λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,759,201
12,759,201
35 × 7 × 13 × 577
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7 × 13 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,563,904
Proper Divisor Sum 10,804,703
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12759179 ← → #12759209

Radix Representation

Decimal 12759201
Binary 110000101011000010100001 (24 bits)
Octal 0o60530241
Hexadecimal 0xC2B0A1

Divisor Catalog (48)

1 3 7 9 13 21 27 39 63 81 91 117 189 243 273 351 567 577 819 1,053 1,701 1,731 2,457 3,159 4,039 5,193 7,371 7,501 12,117 15,579 22,113 22,503 36,351 46,737 52,507 67,509 109,053 140,211 157,521 202,527 327,159 472,563 607,581 981,477 1,417,689 1,822,743 4,253,067 12,759,201

Collatz Trajectory (197 steps to reach 1)

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

12,759,201 38,277,604 19,138,802 9,569,401 28,708,204 14,354,102 7,177,051 21,531,154 10,765,577 32,296,732 16,148,366 8,074,183 24,222,550 12,111,275 36,333,826 18,166,913 54,500,740 27,250,370 13,625,185 40,875,556 20,437,778 10,218,889 30,656,668 15,328,334 7,664,167 22,992,502 11,496,251 34,488,754 17,244,377 51,733,132 25,866,566 12,933,283 38,799,850 19,399,925 58,199,776 29,099,888 14,549,944 7,274,972 3,637,486 1,818,743 5,456,230 2,728,115 8,184,346 4,092,173 12,276,520 6,138,260 3,069,130 1,534,565 4,603,696 2,301,848 1,150,924 575,462 287,731 863,194 431,597 1,294,792 647,396 323,698 161,849 485,548

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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