λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,004,990
42,004,990
2 × 5 × 37 × 107 × 1061
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 37 × 107 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 78,452,064
Proper Divisor Sum 36,447,074
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #42004979 ← → #42005053

Radix Representation

Decimal 42004990
Binary 10100000001111000111111110 (26 bits)
Octal 0o240170776
Hexadecimal 0x280F1FE

Divisor Catalog (32)

1 2 5 10 37 74 107 185 214 370 535 1,061 1,070 2,122 3,959 5,305 7,918 10,610 19,795 39,257 39,590 78,514 113,527 196,285 227,054 392,570 567,635 1,135,270 4,200,499 8,400,998 21,002,495 42,004,990

Collatz Trajectory (152 steps to reach 1)

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

42,004,990 21,002,495 63,007,486 31,503,743 94,511,230 47,255,615 141,766,846 70,883,423 212,650,270 106,325,135 318,975,406 159,487,703 478,463,110 239,231,555 717,694,666 358,847,333 1,076,542,000 538,271,000 269,135,500 134,567,750 67,283,875 201,851,626 100,925,813 302,777,440 151,388,720 75,694,360 37,847,180 18,923,590 9,461,795 28,385,386 14,192,693 42,578,080 21,289,040 10,644,520 5,322,260 2,661,130 1,330,565 3,991,696 1,995,848 997,924 498,962 249,481 748,444 374,222 187,111 561,334 280,667 842,002 421,001 1,263,004 631,502 315,751 947,254 473,627 1,420,882 710,441 2,131,324 1,065,662 532,831 1,598,494

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 #42,004,989 Browse Full Index Next Integer #42,004,991 →