λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,350,335
41,350,335
3 × 5 × 13 × 53 × 4001
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13 × 53 × 4001
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,612,288
Proper Divisor Sum 31,261,953
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41350333 ← → #41350357

Radix Representation

Decimal 41350335
Binary 10011101101111010010111111 (26 bits)
Octal 0o235572277
Hexadecimal 0x276F4BF

Divisor Catalog (32)

1 3 5 13 15 39 53 65 159 195 265 689 795 2,067 3,445 4,001 10,335 12,003 20,005 52,013 60,015 156,039 212,053 260,065 636,159 780,195 1,060,265 2,756,689 3,180,795 8,270,067 13,783,445 41,350,335

Collatz Trajectory (160 steps to reach 1)

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

41,350,335 124,051,006 62,025,503 186,076,510 93,038,255 279,114,766 139,557,383 418,672,150 209,336,075 628,008,226 314,004,113 942,012,340 471,006,170 235,503,085 706,509,256 353,254,628 176,627,314 88,313,657 264,940,972 132,470,486 66,235,243 198,705,730 99,352,865 298,058,596 149,029,298 74,514,649 223,543,948 111,771,974 55,885,987 167,657,962 83,828,981 251,486,944 125,743,472 62,871,736 31,435,868 15,717,934 7,858,967 23,576,902 11,788,451 35,365,354 17,682,677 53,048,032 26,524,016 13,262,008 6,631,004 3,315,502 1,657,751 4,973,254 2,486,627 7,459,882 3,729,941 11,189,824 5,594,912 2,797,456 1,398,728 699,364 349,682 174,841 524,524 262,262

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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