λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,872,080
2,872,080
24 × 32 × 5 × 3989
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 3989
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,647,820
Proper Divisor Sum 6,775,740
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2872069 ← → #2872081

Radix Representation

Decimal 2872080
Binary 1010111101001100010000 (22 bits)
Octal 0o12751420
Hexadecimal 0x2BD310

Divisor Catalog (60)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3,989 7,978 11,967 15,956 19,945 23,934 31,912 35,901 39,890 47,868 59,835 63,824 71,802 79,780 95,736 119,670 143,604 159,560 179,505 191,472 239,340 287,208 319,120 359,010 478,680 574,416 718,020 957,360 1,436,040 2,872,080

Collatz Trajectory (182 steps to reach 1)

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

2,872,080 1,436,040 718,020 359,010 179,505 538,516 269,258 134,629 403,888 201,944 100,972 50,486 25,243 75,730 37,865 113,596 56,798 28,399 85,198 42,599 127,798 63,899 191,698 95,849 287,548 143,774 71,887 215,662 107,831 323,494 161,747 485,242 242,621 727,864 363,932 181,966 90,983 272,950 136,475 409,426 204,713 614,140 307,070 153,535 460,606 230,303 690,910 345,455 1,036,366 518,183 1,554,550 777,275 2,331,826 1,165,913 3,497,740 1,748,870 874,435 2,623,306 1,311,653 3,934,960

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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