λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,098,144
1,098,144
25 × 33 × 31 × 41
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^3 × 31 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 3,386,880
Proper Divisor Sum 2,288,736
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1098133 ← → #1098151

Radix Representation

Decimal 1098144
Binary 100001100000110100000 (21 bits)
Octal 0o4140640
Hexadecimal 0x10C1A0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 41 48 54 62 72 82 93 96 108 123 124 144 164 186 216 246 248 279 288 328 369 372 432 492 496 558 656 738 744 837 864 984 992 1,107 1,116 1,271 1,312 1,476 1,488 1,674 1,968 2,214 2,232 2,542 2,952

Collatz Trajectory (85 steps to reach 1)

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

1,098,144 549,072 274,536 137,268 68,634 34,317 102,952 51,476 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196

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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