λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,662,002
2,662,002
2 × 32 × 7 × 37 × 571
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 37 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,781,632
Proper Divisor Sum 4,119,630
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2661991 ← → #2662027

Radix Representation

Decimal 2662002
Binary 1010001001111001110010 (22 bits)
Octal 0o12117162
Hexadecimal 0x289E72

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 571 666 777 1,142 1,554 1,713 2,331 3,426 3,997 4,662 5,139 7,994 10,278 11,991 21,127 23,982 35,973 42,254 63,381 71,946 126,762 147,889 190,143 295,778 380,286 443,667 887,334 1,331,001 2,662,002

Collatz Trajectory (94 steps to reach 1)

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

2,662,002 1,331,001 3,993,004 1,996,502 998,251 2,994,754 1,497,377 4,492,132 2,246,066 1,123,033 3,369,100 1,684,550 842,275 2,526,826 1,263,413 3,790,240 1,895,120 947,560 473,780 236,890 118,445 355,336 177,668 88,834 44,417 133,252 66,626 33,313 99,940 49,970 24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #2,662,001 Browse Full Index Next Integer #2,662,003 →