λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,859,614
42,859,614
2 × 3 × 72 × 73 × 1997
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 73 × 1997
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 101,130,768
Proper Divisor Sum 58,271,154
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #42859613 ← → #42859627

Radix Representation

Decimal 42859614
Binary 10100011011111110001011110 (26 bits)
Octal 0o243376136
Hexadecimal 0x28DFC5E

Divisor Catalog (48)

1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 438 511 1,022 1,533 1,997 3,066 3,577 3,994 5,991 7,154 10,731 11,982 13,979 21,462 27,958 41,937 83,874 97,853 145,781 195,706 291,562 293,559 437,343 587,118 874,686 1,020,467 2,040,934 3,061,401 6,122,802 7,143,269 14,286,538 21,429,807 42,859,614

Collatz Trajectory (266 steps to reach 1)

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

42,859,614 21,429,807 64,289,422 32,144,711 96,434,134 48,217,067 144,651,202 72,325,601 216,976,804 108,488,402 54,244,201 162,732,604 81,366,302 40,683,151 122,049,454 61,024,727 183,074,182 91,537,091 274,611,274 137,305,637 411,916,912 205,958,456 102,979,228 51,489,614 25,744,807 77,234,422 38,617,211 115,851,634 57,925,817 173,777,452 86,888,726 43,444,363 130,333,090 65,166,545 195,499,636 97,749,818 48,874,909 146,624,728 73,312,364 36,656,182 18,328,091 54,984,274 27,492,137 82,476,412 41,238,206 20,619,103 61,857,310 30,928,655 92,785,966 46,392,983 139,178,950 69,589,475 208,768,426 104,384,213 313,152,640 156,576,320 78,288,160 39,144,080 19,572,040 9,786,020

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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