λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,801,430
2,801,430
2 × 32 × 5 × 17 × 1831
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17 × 1831
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,716,384
Proper Divisor Sum 4,914,954
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2801401 ← → #2801431

Radix Representation

Decimal 2801430
Binary 1010101011111100010110 (22 bits)
Octal 0o12537426
Hexadecimal 0x2ABF16

Divisor Catalog (48)

1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1,530 1,831 3,662 5,493 9,155 10,986 16,479 18,310 27,465 31,127 32,958 54,930 62,254 82,395 93,381 155,635 164,790 186,762 280,143 311,270 466,905 560,286 933,810 1,400,715 2,801,430

Collatz Trajectory (107 steps to reach 1)

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

2,801,430 1,400,715 4,202,146 2,101,073 6,303,220 3,151,610 1,575,805 4,727,416 2,363,708 1,181,854 590,927 1,772,782 886,391 2,659,174 1,329,587 3,988,762 1,994,381 5,983,144 2,991,572 1,495,786 747,893 2,243,680 1,121,840 560,920 280,460 140,230 70,115 210,346 105,173 315,520 157,760 78,880 39,440 19,720 9,860 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968

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 #2,801,429 Browse Full Index Next Integer #2,801,431 →