2⁶ × 3³ × 5

Prime Factor Structure

Factorization String 2^6 × 3^3 × 5

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 30,480

Proper Divisor Sum 21,840

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8629 ← → #8641

Radix Representation

Decimal	8640
Binary	10000111000000 (14 bits)
Octal	0o20700
Hexadecimal	0x21C0

Divisor Catalog (56)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1,080 1,440 1,728 2,160 2,880 4,320 8,640

Collatz Trajectory (47 steps to reach 1)

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

8,640 4,320 2,160 1,080 540 270 135 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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

← Previous Integer #8,639 Browse Full Index Next Integer #8,641 →