λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,614
41,002,614
2 × 32 × 61 × 107 × 349
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 61 × 107 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 91,400,400
Proper Divisor Sum 50,397,786
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #41002609 ← → #41002631

Radix Representation

Decimal 41002614
Binary 10011100011010011001110110 (26 bits)
Octal 0o234323166
Hexadecimal 0x271A676

Divisor Catalog (48)

1 2 3 6 9 18 61 107 122 183 214 321 349 366 549 642 698 963 1,047 1,098 1,926 2,094 3,141 6,282 6,527 13,054 19,581 21,289 37,343 39,162 42,578 58,743 63,867 74,686 112,029 117,486 127,734 191,601 224,058 336,087 383,202 672,174 2,277,923 4,555,846 6,833,769 13,667,538 20,501,307 41,002,614

Collatz Trajectory (129 steps to reach 1)

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

41,002,614 20,501,307 61,503,922 30,751,961 92,255,884 46,127,942 23,063,971 69,191,914 34,595,957 103,787,872 51,893,936 25,946,968 12,973,484 6,486,742 3,243,371 9,730,114 4,865,057 14,595,172 7,297,586 3,648,793 10,946,380 5,473,190 2,736,595 8,209,786 4,104,893 12,314,680 6,157,340 3,078,670 1,539,335 4,618,006 2,309,003 6,927,010 3,463,505 10,390,516 5,195,258 2,597,629 7,792,888 3,896,444 1,948,222 974,111 2,922,334 1,461,167 4,383,502 2,191,751 6,575,254 3,287,627 9,862,882 4,931,441 14,794,324 7,397,162 3,698,581 11,095,744 5,547,872 2,773,936 1,386,968 693,484 346,742 173,371 520,114 260,057

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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