λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,736,096
3,736,096
25 × 7 × 13 × 1283
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 1283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,059,904
Proper Divisor Sum 5,323,808
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3736087 ← → #3736111

Radix Representation

Decimal 3736096
Binary 1110010000001000100000 (22 bits)
Octal 0o16201040
Hexadecimal 0x390220

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1,283 1,456 2,566 2,912 5,132 8,981 10,264 16,679 17,962 20,528 33,358 35,924 41,056 66,716 71,848 116,753 133,432 143,696 233,506 266,864 287,392 467,012 533,728 934,024 1,868,048 3,736,096

Collatz Trajectory (53 steps to reach 1)

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

3,736,096 1,868,048 934,024 467,012 233,506 116,753 350,260 175,130 87,565 262,696 131,348 65,674 32,837 98,512 49,256 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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