λ
Ratio Atlas
Atlas › Integer Profiles › Node 760,080
760,080
24 × 3 × 5 × 3167
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 3167
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,356,992
Proper Divisor Sum 1,596,912
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #760079 ← → #760093

Radix Representation

Decimal 760080
Binary 10111001100100010000 (20 bits)
Octal 0o2714420
Hexadecimal 0xB9910

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3,167 6,334 9,501 12,668 15,835 19,002 25,336 31,670 38,004 47,505 50,672 63,340 76,008 95,010 126,680 152,016 190,020 253,360 380,040 760,080

Collatz Trajectory (105 steps to reach 1)

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

760,080 380,040 190,020 95,010 47,505 142,516 71,258 35,629 106,888 53,444 26,722 13,361 40,084 20,042 10,021 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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