λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,000,210
8,000,210
2 × 5 × 892 × 101
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 89^2 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,708,196
Proper Divisor Sum 6,707,986
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #8000189 ← → #8000219

Radix Representation

Decimal 8000210
Binary 11110100001001011010010 (23 bits)
Octal 0o36411322
Hexadecimal 0x7A12D2

Divisor Catalog (24)

1 2 5 10 89 101 178 202 445 505 890 1,010 7,921 8,989 15,842 17,978 39,605 44,945 79,210 89,890 800,021 1,600,042 4,000,105 8,000,210

Collatz Trajectory (261 steps to reach 1)

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

8,000,210 4,000,105 12,000,316 6,000,158 3,000,079 9,000,238 4,500,119 13,500,358 6,750,179 20,250,538 10,125,269 30,375,808 15,187,904 7,593,952 3,796,976 1,898,488 949,244 474,622 237,311 711,934 355,967 1,067,902 533,951 1,601,854 800,927 2,402,782 1,201,391 3,604,174 1,802,087 5,406,262 2,703,131 8,109,394 4,054,697 12,164,092 6,082,046 3,041,023 9,123,070 4,561,535 13,684,606 6,842,303 20,526,910 10,263,455 30,790,366 15,395,183 46,185,550 23,092,775 69,278,326 34,639,163 103,917,490 51,958,745 155,876,236 77,938,118 38,969,059 116,907,178 58,453,589 175,360,768 87,680,384 43,840,192 21,920,096 10,960,048

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #8,000,209 Browse Full Index Next Integer #8,000,211 →