λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,400
71,400
23 × 3 × 52 × 7 × 17
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 7 × 17
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 267,840
Proper Divisor Sum 196,440
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #71399 ← → #71411

Radix Representation

Decimal 71400
Binary 10001011011101000 (17 bits)
Octal 0o213350
Hexadecimal 0x116E8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 25 28 30 34 35 40 42 50 51 56 60 68 70 75 84 85 100 102 105 119 120 136 140 150 168 170 175 200 204 210 238 255 280 300 340 350 357 408 420 425 476 510 525 595

Collatz Trajectory (99 steps to reach 1)

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

71,400 35,700 17,850 8,925 26,776 13,388 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 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

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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