λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,206,260
41,206,260
22 × 3 × 5 × 229 × 2999
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 229 × 2999
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 115,920,000
Proper Divisor Sum 74,713,740
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #41206247 ← → #41206261

Radix Representation

Decimal 41206260
Binary 10011101001100000111110100 (26 bits)
Octal 0o235140764
Hexadecimal 0x274C1F4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 229 458 687 916 1,145 1,374 2,290 2,748 2,999 3,435 4,580 5,998 6,870 8,997 11,996 13,740 14,995 17,994 29,990 35,988 44,985 59,980 89,970 179,940 686,771 1,373,542 2,060,313 2,747,084 3,433,855 4,120,626 6,867,710 8,241,252 10,301,565 13,735,420 20,603,130 41,206,260

Collatz Trajectory (222 steps to reach 1)

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

41,206,260 20,603,130 10,301,565 30,904,696 15,452,348 7,726,174 3,863,087 11,589,262 5,794,631 17,383,894 8,691,947 26,075,842 13,037,921 39,113,764 19,556,882 9,778,441 29,335,324 14,667,662 7,333,831 22,001,494 11,000,747 33,002,242 16,501,121 49,503,364 24,751,682 12,375,841 37,127,524 18,563,762 9,281,881 27,845,644 13,922,822 6,961,411 20,884,234 10,442,117 31,326,352 15,663,176 7,831,588 3,915,794 1,957,897 5,873,692 2,936,846 1,468,423 4,405,270 2,202,635 6,607,906 3,303,953 9,911,860 4,955,930 2,477,965 7,433,896 3,716,948 1,858,474 929,237 2,787,712 1,393,856 696,928 348,464 174,232 87,116 43,558

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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