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Ratio Atlas
Atlas › Integer Profiles › Node 35,701,435
35,701,435
5 × 7 × 11 × 47 × 1973
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 47 × 1973
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,577,152
Proper Divisor Sum 18,875,717
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #35701423 ← → #35701439

Radix Representation

Decimal 35701435
Binary 10001000001100001010111011 (26 bits)
Octal 0o210141273
Hexadecimal 0x220C2BB

Divisor Catalog (32)

1 5 7 11 35 47 55 77 235 329 385 517 1,645 1,973 2,585 3,619 9,865 13,811 18,095 21,703 69,055 92,731 108,515 151,921 463,655 649,117 759,605 1,020,041 3,245,585 5,100,205 7,140,287 35,701,435

Collatz Trajectory (214 steps to reach 1)

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

35,701,435 107,104,306 53,552,153 160,656,460 80,328,230 40,164,115 120,492,346 60,246,173 180,738,520 90,369,260 45,184,630 22,592,315 67,776,946 33,888,473 101,665,420 50,832,710 25,416,355 76,249,066 38,124,533 114,373,600 57,186,800 28,593,400 14,296,700 7,148,350 3,574,175 10,722,526 5,361,263 16,083,790 8,041,895 24,125,686 12,062,843 36,188,530 18,094,265 54,282,796 27,141,398 13,570,699 40,712,098 20,356,049 61,068,148 30,534,074 15,267,037 45,801,112 22,900,556 11,450,278 5,725,139 17,175,418 8,587,709 25,763,128 12,881,564 6,440,782 3,220,391 9,661,174 4,830,587 14,491,762 7,245,881 21,737,644 10,868,822 5,434,411 16,303,234 8,151,617

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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