λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,336,232
42,336,232
23 × 89 × 97 × 613
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 89 × 97 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,232,200
Proper Divisor Sum 38,895,968
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #42336211 ← → #42336247

Radix Representation

Decimal 42336232
Binary 10100001011111111111101000 (26 bits)
Octal 0o241377750
Hexadecimal 0x285FFE8

Divisor Catalog (32)

1 2 4 8 89 97 178 194 356 388 613 712 776 1,226 2,452 4,904 8,633 17,266 34,532 54,557 59,461 69,064 109,114 118,922 218,228 237,844 436,456 475,688 5,292,029 10,584,058 21,168,116 42,336,232

Collatz Trajectory (222 steps to reach 1)

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

42,336,232 21,168,116 10,584,058 5,292,029 15,876,088 7,938,044 3,969,022 1,984,511 5,953,534 2,976,767 8,930,302 4,465,151 13,395,454 6,697,727 20,093,182 10,046,591 30,139,774 15,069,887 45,209,662 22,604,831 67,814,494 33,907,247 101,721,742 50,860,871 152,582,614 76,291,307 228,873,922 114,436,961 343,310,884 171,655,442 85,827,721 257,483,164 128,741,582 64,370,791 193,112,374 96,556,187 289,668,562 144,834,281 434,502,844 217,251,422 108,625,711 325,877,134 162,938,567 488,815,702 244,407,851 733,223,554 366,611,777 1,099,835,332 549,917,666 274,958,833 824,876,500 412,438,250 206,219,125 618,657,376 309,328,688 154,664,344 77,332,172 38,666,086 19,333,043 57,999,130

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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