λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,480,959
4,480,959
3 × 7 × 37 × 73 × 79
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 37 × 73 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,198,720
Proper Divisor Sum 2,717,761
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4480951 ← → #4480961

Radix Representation

Decimal 4480959
Binary 10001000101111110111111 (23 bits)
Octal 0o21057677
Hexadecimal 0x445FBF

Divisor Catalog (32)

1 3 7 21 37 73 79 111 219 237 259 511 553 777 1,533 1,659 2,701 2,923 5,767 8,103 8,769 17,301 18,907 20,461 40,369 56,721 61,383 121,107 213,379 640,137 1,493,653 4,480,959

Collatz Trajectory (255 steps to reach 1)

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

4,480,959 13,442,878 6,721,439 20,164,318 10,082,159 30,246,478 15,123,239 45,369,718 22,684,859 68,054,578 34,027,289 102,081,868 51,040,934 25,520,467 76,561,402 38,280,701 114,842,104 57,421,052 28,710,526 14,355,263 43,065,790 21,532,895 64,598,686 32,299,343 96,898,030 48,449,015 145,347,046 72,673,523 218,020,570 109,010,285 327,030,856 163,515,428 81,757,714 40,878,857 122,636,572 61,318,286 30,659,143 91,977,430 45,988,715 137,966,146 68,983,073 206,949,220 103,474,610 51,737,305 155,211,916 77,605,958 38,802,979 116,408,938 58,204,469 174,613,408 87,306,704 43,653,352 21,826,676 10,913,338 5,456,669 16,370,008 8,185,004 4,092,502 2,046,251 6,138,754

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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