λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,999,475
41,999,475
3 × 52 × 7 × 79999
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 79999
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 79,360,000
Proper Divisor Sum 37,360,525
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #41999473 ← → #41999521

Radix Representation

Decimal 41999475
Binary 10100000001101110001110011 (26 bits)
Octal 0o240156163
Hexadecimal 0x280DC73

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 105 175 525 79,999 239,997 399,995 559,993 1,199,985 1,679,979 1,999,975 2,799,965 5,999,925 8,399,895 13,999,825 41,999,475

Collatz Trajectory (253 steps to reach 1)

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

41,999,475 125,998,426 62,999,213 188,997,640 94,498,820 47,249,410 23,624,705 70,874,116 35,437,058 17,718,529 53,155,588 26,577,794 13,288,897 39,866,692 19,933,346 9,966,673 29,900,020 14,950,010 7,475,005 22,425,016 11,212,508 5,606,254 2,803,127 8,409,382 4,204,691 12,614,074 6,307,037 18,921,112 9,460,556 4,730,278 2,365,139 7,095,418 3,547,709 10,643,128 5,321,564 2,660,782 1,330,391 3,991,174 1,995,587 5,986,762 2,993,381 8,980,144 4,490,072 2,245,036 1,122,518 561,259 1,683,778 841,889 2,525,668 1,262,834 631,417 1,894,252 947,126 473,563 1,420,690 710,345 2,131,036 1,065,518 532,759 1,598,278

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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