λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,964,096
2,964,096
27 × 32 × 31 × 83
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^2 × 31 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 8,910,720
Proper Divisor Sum 5,946,624
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2964089 ← → #2964097

Radix Representation

Decimal 2964096
Binary 1011010011101010000000 (22 bits)
Octal 0o13235200
Hexadecimal 0x2D3A80

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 83 93 96 124 128 144 166 186 192 248 249 279 288 332 372 384 496 498 558 576 664 744 747 992 996 1,116 1,152 1,328 1,488 1,494 1,984 1,992 2,232 2,573 2,656 2,976 2,988 3,968 3,984 4,464 5,146 5,312

Collatz Trajectory (63 steps to reach 1)

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

2,964,096 1,482,048 741,024 370,512 185,256 92,628 46,314 23,157 69,472 34,736 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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