λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,003,512
41,003,512
23 × 112 × 42359
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11^2 × 42359
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 84,508,200
Proper Divisor Sum 43,504,688
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #41003509 ← → #41003537

Radix Representation

Decimal 41003512
Binary 10011100011010100111111000 (26 bits)
Octal 0o234324770
Hexadecimal 0x271A9F8

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 42,359 84,718 169,436 338,872 465,949 931,898 1,863,796 3,727,592 5,125,439 10,250,878 20,501,756 41,003,512

Collatz Trajectory (147 steps to reach 1)

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

41,003,512 20,501,756 10,250,878 5,125,439 15,376,318 7,688,159 23,064,478 11,532,239 34,596,718 17,298,359 51,895,078 25,947,539 77,842,618 38,921,309 116,763,928 58,381,964 29,190,982 14,595,491 43,786,474 21,893,237 65,679,712 32,839,856 16,419,928 8,209,964 4,104,982 2,052,491 6,157,474 3,078,737 9,236,212 4,618,106 2,309,053 6,927,160 3,463,580 1,731,790 865,895 2,597,686 1,298,843 3,896,530 1,948,265 5,844,796 2,922,398 1,461,199 4,383,598 2,191,799 6,575,398 3,287,699 9,863,098 4,931,549 14,794,648 7,397,324 3,698,662 1,849,331 5,547,994 2,773,997 8,321,992 4,160,996 2,080,498 1,040,249 3,120,748 1,560,374

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
← Previous Integer #41,003,511 Browse Full Index Next Integer #41,003,513 →