λ
Ratio Atlas
Atlas › Integer Profiles › Node 392,735
392,735
5 × 73 × 229
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7^3 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 552,000
Proper Divisor Sum 159,265
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #392723 ← → #392737

Radix Representation

Decimal 392735
Binary 1011111111000011111 (19 bits)
Octal 0o1377037
Hexadecimal 0x5FE1F

Divisor Catalog (16)

1 5 7 35 49 229 245 343 1,145 1,603 1,715 8,015 11,221 56,105 78,547 392,735

Collatz Trajectory (285 steps to reach 1)

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

392,735 1,178,206 589,103 1,767,310 883,655 2,650,966 1,325,483 3,976,450 1,988,225 5,964,676 2,982,338 1,491,169 4,473,508 2,236,754 1,118,377 3,355,132 1,677,566 838,783 2,516,350 1,258,175 3,774,526 1,887,263 5,661,790 2,830,895 8,492,686 4,246,343 12,739,030 6,369,515 19,108,546 9,554,273 28,662,820 14,331,410 7,165,705 21,497,116 10,748,558 5,374,279 16,122,838 8,061,419 24,184,258 12,092,129 36,276,388 18,138,194 9,069,097 27,207,292 13,603,646 6,801,823 20,405,470 10,202,735 30,608,206 15,304,103 45,912,310 22,956,155 68,868,466 34,434,233 103,302,700 51,651,350 25,825,675 77,477,026 38,738,513 116,215,540

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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