λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,364
41,002,364
22 × 13 × 37 × 101 × 211
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 37 × 101 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 80,527,776
Proper Divisor Sum 39,525,412
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #41002363 ← → #41002369

Radix Representation

Decimal 41002364
Binary 10011100011010010101111100 (26 bits)
Octal 0o234322574
Hexadecimal 0x271A57C

Divisor Catalog (48)

1 2 4 13 26 37 52 74 101 148 202 211 404 422 481 844 962 1,313 1,924 2,626 2,743 3,737 5,252 5,486 7,474 7,807 10,972 14,948 15,614 21,311 31,228 42,622 48,581 85,244 97,162 101,491 194,324 202,982 277,043 405,964 554,086 788,507 1,108,172 1,577,014 3,154,028 10,250,591 20,501,182 41,002,364

Collatz Trajectory (191 steps to reach 1)

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

41,002,364 20,501,182 10,250,591 30,751,774 15,375,887 46,127,662 23,063,831 69,191,494 34,595,747 103,787,242 51,893,621 155,680,864 77,840,432 38,920,216 19,460,108 9,730,054 4,865,027 14,595,082 7,297,541 21,892,624 10,946,312 5,473,156 2,736,578 1,368,289 4,104,868 2,052,434 1,026,217 3,078,652 1,539,326 769,663 2,308,990 1,154,495 3,463,486 1,731,743 5,195,230 2,597,615 7,792,846 3,896,423 11,689,270 5,844,635 17,533,906 8,766,953 26,300,860 13,150,430 6,575,215 19,725,646 9,862,823 29,588,470 14,794,235 44,382,706 22,191,353 66,574,060 33,287,030 16,643,515 49,930,546 24,965,273 74,895,820 37,447,910 18,723,955 56,171,866

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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