λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,901,735
12,901,735
5 × 7 × 11 × 23 × 31 × 47
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 23 × 31 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,233,664
Proper Divisor Sum 8,331,929
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #12901729 ← → #12901747

Radix Representation

Decimal 12901735
Binary 110001001101110101100111 (24 bits)
Octal 0o61156547
Hexadecimal 0xC4DD67

Divisor Catalog (60 of 64)

1 5 7 11 23 31 35 47 55 77 115 155 161 217 235 253 329 341 385 517 713 805 1,081 1,085 1,265 1,457 1,645 1,705 1,771 2,387 2,585 3,565 3,619 4,991 5,405 7,285 7,567 7,843 8,855 10,199 11,891 11,935 16,027 18,095 24,955 33,511 37,835 39,215 50,995 54,901 59,455 80,135 83,237 112,189 167,555 234,577 274,505 368,621 416,185 560,945

Collatz Trajectory (179 steps to reach 1)

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

12,901,735 38,705,206 19,352,603 58,057,810 29,028,905 87,086,716 43,543,358 21,771,679 65,315,038 32,657,519 97,972,558 48,986,279 146,958,838 73,479,419 220,438,258 110,219,129 330,657,388 165,328,694 82,664,347 247,993,042 123,996,521 371,989,564 185,994,782 92,997,391 278,992,174 139,496,087 418,488,262 209,244,131 627,732,394 313,866,197 941,598,592 470,799,296 235,399,648 117,699,824 58,849,912 29,424,956 14,712,478 7,356,239 22,068,718 11,034,359 33,103,078 16,551,539 49,654,618 24,827,309 74,481,928 37,240,964 18,620,482 9,310,241 27,930,724 13,965,362 6,982,681 20,948,044 10,474,022 5,237,011 15,711,034 7,855,517 23,566,552 11,783,276 5,891,638 2,945,819

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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