λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,016,112
2,016,112
24 × 7 × 47 × 383
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7 × 47 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,571,136
Proper Divisor Sum 2,555,024
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2016107 ← → #2016127

Radix Representation

Decimal 2016112
Binary 111101100001101110000 (21 bits)
Octal 0o7541560
Hexadecimal 0x1EC370

Divisor Catalog (40)

1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 383 658 752 766 1,316 1,532 2,632 2,681 3,064 5,264 5,362 6,128 10,724 18,001 21,448 36,002 42,896 72,004 126,007 144,008 252,014 288,016 504,028 1,008,056 2,016,112

Collatz Trajectory (135 steps to reach 1)

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

2,016,112 1,008,056 504,028 252,014 126,007 378,022 189,011 567,034 283,517 850,552 425,276 212,638 106,319 318,958 159,479 478,438 239,219 717,658 358,829 1,076,488 538,244 269,122 134,561 403,684 201,842 100,921 302,764 151,382 75,691 227,074 113,537 340,612 170,306 85,153 255,460 127,730 63,865 191,596 95,798 47,899 143,698 71,849 215,548 107,774 53,887 161,662 80,831 242,494 121,247 363,742 181,871 545,614 272,807 818,422 409,211 1,227,634 613,817 1,841,452 920,726 460,363

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
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