λ
Ratio Atlas
Atlas › Integer Profiles › Node 114,480
114,480
24 × 33 × 5 × 53
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 401,760
Proper Divisor Sum 287,280
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #114479 ← → #114487

Radix Representation

Decimal 114480
Binary 11011111100110000 (17 bits)
Octal 0o337460
Hexadecimal 0x1BF30

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 90 106 108 120 135 144 159 180 212 216 240 265 270 318 360 424 432 477 530 540 636 720 795 848 954 1,060 1,080 1,272 1,431 1,590 1,908 2,120 2,160 2,385

Collatz Trajectory (79 steps to reach 1)

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

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 1,300 650 325 976 488 244 122

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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