2⁴ × 5 × 17 × 29

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 100,440

Proper Divisor Sum 61,000

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #39439 ← → #39443

Radix Representation

Decimal	39440
Binary	1001101000010000 (16 bits)
Octal	0o115020
Hexadecimal	0x9A10

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 232 272 290 340 464 493 580 680 986 1,160 1,360 1,972 2,320 2,465 3,944 4,930 7,888 9,860 19,720 39,440

Collatz Trajectory (75 steps to reach 1)

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

39,440 19,720 9,860 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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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