λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,011,072
2,011,072
26 × 7 × 672
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 67^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 4,629,912
Proper Divisor Sum 2,618,840
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2011069 ← → #2011073

Radix Representation

Decimal 2011072
Binary 111101010111111000000 (21 bits)
Octal 0o7527700
Hexadecimal 0x1EAFC0

Divisor Catalog (42)

1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1,072 1,876 2,144 3,752 4,288 4,489 7,504 8,978 15,008 17,956 30,016 31,423 35,912 62,846 71,824 125,692 143,648 251,384 287,296 502,768 1,005,536 2,011,072

Collatz Trajectory (114 steps to reach 1)

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

2,011,072 1,005,536 502,768 251,384 125,692 62,846 31,423 94,270 47,135 141,406 70,703 212,110 106,055 318,166 159,083 477,250 238,625 715,876 357,938 178,969 536,908 268,454 134,227 402,682 201,341 604,024 302,012 151,006 75,503 226,510 113,255 339,766 169,883 509,650 254,825 764,476 382,238 191,119 573,358 286,679 860,038 430,019 1,290,058 645,029 1,935,088 967,544 483,772 241,886 120,943 362,830 181,415 544,246 272,123 816,370 408,185 1,224,556 612,278 306,139 918,418 459,209

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #2,011,071 Browse Full Index Next Integer #2,011,073 →