λ
Ratio Atlas
Atlas › Integer Profiles › Node 228,960
228,960
25 × 33 × 5 × 53
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 5 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 816,480
Proper Divisor Sum 587,520
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #228959 ← → #228961

Radix Representation

Decimal 228960
Binary 110111111001100000 (18 bits)
Octal 0o677140
Hexadecimal 0x37E60

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 53 54 60 72 80 90 96 106 108 120 135 144 159 160 180 212 216 240 265 270 288 318 360 424 432 477 480 530 540 636 720 795 848 864 954 1,060 1,080 1,272

Collatz Trajectory (80 steps to reach 1)

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

228,960 114,480 57,240 28,620 14,310 7,155 21,466 10,733 32,200 16,100 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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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