λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,999,679
41,999,679
32 × 23 × 137 × 1481
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 23 × 137 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,808,992
Proper Divisor Sum 21,809,313
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #41999677 ← → #41999689

Radix Representation

Decimal 41999679
Binary 10100000001101110100111111 (26 bits)
Octal 0o240156477
Hexadecimal 0x280DD3F

Divisor Catalog (24)

1 3 9 23 69 137 207 411 1,233 1,481 3,151 4,443 9,453 13,329 28,359 34,063 102,189 202,897 306,567 608,691 1,826,073 4,666,631 13,999,893 41,999,679

Collatz Trajectory (152 steps to reach 1)

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

41,999,679 125,999,038 62,999,519 188,998,558 94,499,279 283,497,838 141,748,919 425,246,758 212,623,379 637,870,138 318,935,069 956,805,208 478,402,604 239,201,302 119,600,651 358,801,954 179,400,977 538,202,932 269,101,466 134,550,733 403,652,200 201,826,100 100,913,050 50,456,525 151,369,576 75,684,788 37,842,394 18,921,197 56,763,592 28,381,796 14,190,898 7,095,449 21,286,348 10,643,174 5,321,587 15,964,762 7,982,381 23,947,144 11,973,572 5,986,786 2,993,393 8,980,180 4,490,090 2,245,045 6,735,136 3,367,568 1,683,784 841,892 420,946 210,473 631,420 315,710 157,855 473,566 236,783 710,350 355,175 1,065,526 532,763 1,598,290

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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