λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,114,480
5,114,480
24 × 5 × 7 × 9133
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 9133
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,591,392
Proper Divisor Sum 8,476,912
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #5114479 ← → #5114489

Radix Representation

Decimal 5114480
Binary 10011100000101001110000 (23 bits)
Octal 0o23405160
Hexadecimal 0x4E0A70

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 9,133 18,266 36,532 45,665 63,931 73,064 91,330 127,862 146,128 182,660 255,724 319,655 365,320 511,448 639,310 730,640 1,022,896 1,278,620 2,557,240 5,114,480

Collatz Trajectory (250 steps to reach 1)

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

5,114,480 2,557,240 1,278,620 639,310 319,655 958,966 479,483 1,438,450 719,225 2,157,676 1,078,838 539,419 1,618,258 809,129 2,427,388 1,213,694 606,847 1,820,542 910,271 2,730,814 1,365,407 4,096,222 2,048,111 6,144,334 3,072,167 9,216,502 4,608,251 13,824,754 6,912,377 20,737,132 10,368,566 5,184,283 15,552,850 7,776,425 23,329,276 11,664,638 5,832,319 17,496,958 8,748,479 26,245,438 13,122,719 39,368,158 19,684,079 59,052,238 29,526,119 88,578,358 44,289,179 132,867,538 66,433,769 199,301,308 99,650,654 49,825,327 149,475,982 74,737,991 224,213,974 112,106,987 336,320,962 168,160,481 504,481,444 252,240,722

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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