λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,000,200
2,000,200
23 × 52 × 73 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 73 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,748,580
Proper Divisor Sum 2,748,380
Digit Sum / Digital Root 4 (Root: 4)
Adjacent Primes #2000177 ← → #2000209

Radix Representation

Decimal 2000200
Binary 111101000010101001000 (21 bits)
Octal 0o7502510
Hexadecimal 0x1E8548

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 73 100 137 146 200 274 292 365 548 584 685 730 1,096 1,370 1,460 1,825 2,740 2,920 3,425 3,650 5,480 6,850 7,300 10,001 13,700 14,600 20,002 27,400 40,004 50,005 80,008 100,010 200,020 250,025 400,040 500,050 1,000,100 2,000,200

Collatz Trajectory (259 steps to reach 1)

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

2,000,200 1,000,100 500,050 250,025 750,076 375,038 187,519 562,558 281,279 843,838 421,919 1,265,758 632,879 1,898,638 949,319 2,847,958 1,423,979 4,271,938 2,135,969 6,407,908 3,203,954 1,601,977 4,805,932 2,402,966 1,201,483 3,604,450 1,802,225 5,406,676 2,703,338 1,351,669 4,055,008 2,027,504 1,013,752 506,876 253,438 126,719 380,158 190,079 570,238 285,119 855,358 427,679 1,283,038 641,519 1,924,558 962,279 2,886,838 1,443,419 4,330,258 2,165,129 6,495,388 3,247,694 1,623,847 4,871,542 2,435,771 7,307,314 3,653,657 10,960,972 5,480,486 2,740,243

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
← Previous Integer #2,000,199 Browse Full Index Next Integer #2,000,201 →