λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,999,672
41,999,672
23 × 11 × 13 × 36713
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 36713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,519,280
Proper Divisor Sum 50,519,608
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #41999651 ← → #41999677

Radix Representation

Decimal 41999672
Binary 10100000001101110100111000 (26 bits)
Octal 0o240156470
Hexadecimal 0x280DD38

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 36,713 73,426 146,852 293,704 403,843 477,269 807,686 954,538 1,615,372 1,909,076 3,230,744 3,818,152 5,249,959 10,499,918 20,999,836 41,999,672

Collatz Trajectory (152 steps to reach 1)

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

41,999,672 20,999,836 10,499,918 5,249,959 15,749,878 7,874,939 23,624,818 11,812,409 35,437,228 17,718,614 8,859,307 26,577,922 13,288,961 39,866,884 19,933,442 9,966,721 29,900,164 14,950,082 7,475,041 22,425,124 11,212,562 5,606,281 16,818,844 8,409,422 4,204,711 12,614,134 6,307,067 18,921,202 9,460,601 28,381,804 14,190,902 7,095,451 21,286,354 10,643,177 31,929,532 15,964,766 7,982,383 23,947,150 11,973,575 35,920,726 17,960,363 53,881,090 26,940,545 80,821,636 40,410,818 20,205,409 60,616,228 30,308,114 15,154,057 45,462,172 22,731,086 11,365,543 34,096,630 17,048,315 51,144,946 25,572,473 76,717,420 38,358,710 19,179,355 57,538,066

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
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