λ
Ratio Atlas
Atlas › Integer Profiles › Node 35,424
35,424
25 × 33 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 41
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,840
Proper Divisor Sum 70,416
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #35423 ← → #35437

Radix Representation

Decimal 35424
Binary 1000101001100000 (16 bits)
Octal 0o105140
Hexadecimal 0x8A60

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1,107 1,312 1,476 1,968 2,214 2,952 3,936 4,428 5,904 8,856 11,808 17,712 35,424

Collatz Trajectory (142 steps to reach 1)

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

35,424 17,712 8,856 4,428 2,214 1,107 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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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