λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,002,126
32,002,126
2 × 13 × 172 × 4259
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 17^2 × 4259
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 54,928,440
Proper Divisor Sum 22,926,314
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #32002093 ← → #32002127

Radix Representation

Decimal 32002126
Binary 1111010000101000001001110 (25 bits)
Octal 0o172050116
Hexadecimal 0x1E8504E

Divisor Catalog (24)

1 2 13 17 26 34 221 289 442 578 3,757 4,259 7,514 8,518 55,367 72,403 110,734 144,806 941,239 1,230,851 1,882,478 2,461,702 16,001,063 32,002,126

Collatz Trajectory (263 steps to reach 1)

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

32,002,126 16,001,063 48,003,190 24,001,595 72,004,786 36,002,393 108,007,180 54,003,590 27,001,795 81,005,386 40,502,693 121,508,080 60,754,040 30,377,020 15,188,510 7,594,255 22,782,766 11,391,383 34,174,150 17,087,075 51,261,226 25,630,613 76,891,840 38,445,920 19,222,960 9,611,480 4,805,740 2,402,870 1,201,435 3,604,306 1,802,153 5,406,460 2,703,230 1,351,615 4,054,846 2,027,423 6,082,270 3,041,135 9,123,406 4,561,703 13,685,110 6,842,555 20,527,666 10,263,833 30,791,500 15,395,750 7,697,875 23,093,626 11,546,813 34,640,440 17,320,220 8,660,110 4,330,055 12,990,166 6,495,083 19,485,250 9,742,625 29,227,876 14,613,938 7,306,969

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #32,002,125 Browse Full Index Next Integer #32,002,127 →