λ
Ratio Atlas
Atlas › Integer Profiles › Node 331,848
331,848
23 × 32 × 11 × 419
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 419
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 982,800
Proper Divisor Sum 650,952
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #331843 ← → #331871

Radix Representation

Decimal 331848
Binary 1010001000001001000 (19 bits)
Octal 0o1210110
Hexadecimal 0x51048

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 419 792 838 1,257 1,676 2,514 3,352 3,771 4,609 5,028 7,542 9,218 10,056 13,827 15,084 18,436 27,654 30,168 36,872 41,481 55,308 82,962 110,616 165,924 331,848

Collatz Trajectory (91 steps to reach 1)

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

331,848 165,924 82,962 41,481 124,444 62,222 31,111 93,334 46,667 140,002 70,001 210,004 105,002 52,501 157,504 78,752 39,376 19,688 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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