λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,772,016
2,772,016
24 × 13 × 13327
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 13 × 13327
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,784,352
Proper Divisor Sum 3,012,336
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2771999 ← → #2772017

Radix Representation

Decimal 2772016
Binary 1010100100110000110000 (22 bits)
Octal 0o12446060
Hexadecimal 0x2A4C30

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 13,327 26,654 53,308 106,616 173,251 213,232 346,502 693,004 1,386,008 2,772,016

Collatz Trajectory (76 steps to reach 1)

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

2,772,016 1,386,008 693,004 346,502 173,251 519,754 259,877 779,632 389,816 194,908 97,454 48,727 146,182 73,091 219,274 109,637 328,912 164,456 82,228 41,114 20,557 61,672 30,836 15,418 7,709 23,128 11,564 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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