λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,098,240
80,098,240
26 × 5 × 250307
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 250307
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 190,734,696
Proper Divisor Sum 110,636,456
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #80098231 ← → #80098241

Radix Representation

Decimal 80098240
Binary 100110001100011001111000000 (27 bits)
Octal 0o461431700
Hexadecimal 0x4C633C0

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 250,307 500,614 1,001,228 1,251,535 2,002,456 2,503,070 4,004,912 5,006,140 8,009,824 10,012,280 16,019,648 20,024,560 40,049,120 80,098,240

Collatz Trajectory (140 steps to reach 1)

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

80,098,240 40,049,120 20,024,560 10,012,280 5,006,140 2,503,070 1,251,535 3,754,606 1,877,303 5,631,910 2,815,955 8,447,866 4,223,933 12,671,800 6,335,900 3,167,950 1,583,975 4,751,926 2,375,963 7,127,890 3,563,945 10,691,836 5,345,918 2,672,959 8,018,878 4,009,439 12,028,318 6,014,159 18,042,478 9,021,239 27,063,718 13,531,859 40,595,578 20,297,789 60,893,368 30,446,684 15,223,342 7,611,671 22,835,014 11,417,507 34,252,522 17,126,261 51,378,784 25,689,392 12,844,696 6,422,348 3,211,174 1,605,587 4,816,762 2,408,381 7,225,144 3,612,572 1,806,286 903,143 2,709,430 1,354,715 4,064,146 2,032,073 6,096,220 3,048,110

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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