λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,446,296
3,446,296
23 × 7 × 19 × 41 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 41 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,064,000
Proper Divisor Sum 4,617,704
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3446293 ← → #3446299

Radix Representation

Decimal 3446296
Binary 1101001001011000011000 (22 bits)
Octal 0o15113030
Hexadecimal 0x349618

Divisor Catalog (60 of 64)

1 2 4 7 8 14 19 28 38 41 56 76 79 82 133 152 158 164 266 287 316 328 532 553 574 632 779 1,064 1,106 1,148 1,501 1,558 2,212 2,296 3,002 3,116 3,239 4,424 5,453 6,004 6,232 6,478 10,507 10,906 12,008 12,956 21,014 21,812 22,673 25,912 42,028 43,624 45,346 61,541 84,056 90,692 123,082 181,384 246,164 430,787

Collatz Trajectory (283 steps to reach 1)

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

3,446,296 1,723,148 861,574 430,787 1,292,362 646,181 1,938,544 969,272 484,636 242,318 121,159 363,478 181,739 545,218 272,609 817,828 408,914 204,457 613,372 306,686 153,343 460,030 230,015 690,046 345,023 1,035,070 517,535 1,552,606 776,303 2,328,910 1,164,455 3,493,366 1,746,683 5,240,050 2,620,025 7,860,076 3,930,038 1,965,019 5,895,058 2,947,529 8,842,588 4,421,294 2,210,647 6,631,942 3,315,971 9,947,914 4,973,957 14,921,872 7,460,936 3,730,468 1,865,234 932,617 2,797,852 1,398,926 699,463 2,098,390 1,049,195 3,147,586 1,573,793 4,721,380

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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