λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,732,016
42,732,016
24 × 17 × 157103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 17 × 157103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 87,664,032
Proper Divisor Sum 44,932,016
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #42731987 ← → #42732017

Radix Representation

Decimal 42732016
Binary 10100011000000100111110000 (26 bits)
Octal 0o243004760
Hexadecimal 0x28C09F0

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 157,103 314,206 628,412 1,256,824 2,513,648 2,670,751 5,341,502 10,683,004 21,366,008 42,732,016

Collatz Trajectory (279 steps to reach 1)

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

42,732,016 21,366,008 10,683,004 5,341,502 2,670,751 8,012,254 4,006,127 12,018,382 6,009,191 18,027,574 9,013,787 27,041,362 13,520,681 40,562,044 20,281,022 10,140,511 30,421,534 15,210,767 45,632,302 22,816,151 68,448,454 34,224,227 102,672,682 51,336,341 154,009,024 77,004,512 38,502,256 19,251,128 9,625,564 4,812,782 2,406,391 7,219,174 3,609,587 10,828,762 5,414,381 16,243,144 8,121,572 4,060,786 2,030,393 6,091,180 3,045,590 1,522,795 4,568,386 2,284,193 6,852,580 3,426,290 1,713,145 5,139,436 2,569,718 1,284,859 3,854,578 1,927,289 5,781,868 2,890,934 1,445,467 4,336,402 2,168,201 6,504,604 3,252,302 1,626,151

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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