λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,482,720
4,482,720
25 × 32 × 5 × 11 × 283
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 11 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 16,746,912
Proper Divisor Sum 12,264,192
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4482703 ← → #4482721

Radix Representation

Decimal 4482720
Binary 10001000110011010100000 (23 bits)
Octal 0o21063240
Hexadecimal 0x4466A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 283 288 330 352 360 396 440 480 495 528 566 660 720 792

Collatz Trajectory (87 steps to reach 1)

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

4,482,720 2,241,360 1,120,680 560,340 280,170 140,085 420,256 210,128 105,064 52,532 26,266 13,133 39,400 19,700 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 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 59 178 89 268 134

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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