λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,002,848
41,002,848
25 × 35 × 5273
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^5 × 5273
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 120,943,368
Proper Divisor Sum 79,940,520
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #41002837 ← → #41002849

Radix Representation

Decimal 41002848
Binary 10011100011010011101100000 (26 bits)
Octal 0o234323540
Hexadecimal 0x271A760

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1,296 1,944 2,592 3,888 5,273 7,776 10,546 15,819 21,092 31,638 42,184 47,457 63,276 84,368 94,914 126,552 142,371 168,736 189,828 253,104 284,742 379,656 427,113 506,208 569,484 759,312 854,226 1,138,968 1,281,339

Collatz Trajectory (116 steps to reach 1)

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

41,002,848 20,501,424 10,250,712 5,125,356 2,562,678 1,281,339 3,844,018 1,922,009 5,766,028 2,883,014 1,441,507 4,324,522 2,162,261 6,486,784 3,243,392 1,621,696 810,848 405,424 202,712 101,356 50,678 25,339 76,018 38,009 114,028 57,014 28,507 85,522 42,761 128,284 64,142 32,071 96,214 48,107 144,322 72,161 216,484 108,242 54,121 162,364 81,182 40,591 121,774 60,887 182,662 91,331 273,994 136,997 410,992 205,496 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348

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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