λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,405,758
32,405,758
2 × 72 × 11 × 23 × 1307
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 23 × 1307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 64,416,384
Proper Divisor Sum 32,010,626
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #32405729 ← → #32405759

Radix Representation

Decimal 32405758
Binary 1111011100111100011111110 (25 bits)
Octal 0o173474376
Hexadecimal 0x1EE78FE

Divisor Catalog (48)

1 2 7 11 14 22 23 46 49 77 98 154 161 253 322 506 539 1,078 1,127 1,307 1,771 2,254 2,614 3,542 9,149 12,397 14,377 18,298 24,794 28,754 30,061 60,122 64,043 100,639 128,086 201,278 210,427 330,671 420,854 661,342 704,473 1,408,946 1,472,989 2,314,697 2,945,978 4,629,394 16,202,879 32,405,758

Collatz Trajectory (113 steps to reach 1)

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

32,405,758 16,202,879 48,608,638 24,304,319 72,912,958 36,456,479 109,369,438 54,684,719 164,054,158 82,027,079 246,081,238 123,040,619 369,121,858 184,560,929 553,682,788 276,841,394 138,420,697 415,262,092 207,631,046 103,815,523 311,446,570 155,723,285 467,169,856 233,584,928 116,792,464 58,396,232 29,198,116 14,599,058 7,299,529 21,898,588 10,949,294 5,474,647 16,423,942 8,211,971 24,635,914 12,317,957 36,953,872 18,476,936 9,238,468 4,619,234 2,309,617 6,928,852 3,464,426 1,732,213 5,196,640 2,598,320 1,299,160 649,580 324,790 162,395 487,186 243,593 730,780 365,390 182,695 548,086 274,043 822,130 411,065 1,233,196

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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