λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,801,680
2,801,680
24 × 5 × 7 × 5003
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 5003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 7,445,952
Proper Divisor Sum 4,644,272
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2801641 ← → #2801681

Radix Representation

Decimal 2801680
Binary 1010101100000000010000 (22 bits)
Octal 0o12540020
Hexadecimal 0x2AC010

Divisor Catalog (40)

1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 5,003 10,006 20,012 25,015 35,021 40,024 50,030 70,042 80,048 100,060 140,084 175,105 200,120 280,168 350,210 400,240 560,336 700,420 1,400,840 2,801,680

Collatz Trajectory (94 steps to reach 1)

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

2,801,680 1,400,840 700,420 350,210 175,105 525,316 262,658 131,329 393,988 196,994 98,497 295,492 147,746 73,873 221,620 110,810 55,405 166,216 83,108 41,554 20,777 62,332 31,166 15,583 46,750 23,375 70,126 35,063 105,190 52,595 157,786 78,893 236,680 118,340 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963

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
← Previous Integer #2,801,679 Browse Full Index Next Integer #2,801,681 →