λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,007,252
2,007,252
22 × 32 × 13 × 4289
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 4289
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,465,460
Proper Divisor Sum 3,458,208
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2007251 ← → #2007259

Radix Representation

Decimal 2007252
Binary 111101010000011010100 (21 bits)
Octal 0o7520324
Hexadecimal 0x1EA0D4

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4,289 8,578 12,867 17,156 25,734 38,601 51,468 55,757 77,202 111,514 154,404 167,271 223,028 334,542 501,813 669,084 1,003,626 2,007,252

Collatz Trajectory (60 steps to reach 1)

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

2,007,252 1,003,626 501,813 1,505,440 752,720 376,360 188,180 94,090 47,045 141,136 70,568 35,284 17,642 8,821 26,464 13,232 6,616 3,308 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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