λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,000,400
3,000,400
24 × 52 × 13 × 577
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 13 × 577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 7,776,412
Proper Divisor Sum 4,776,012
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #3000379 ← → #3000409

Radix Representation

Decimal 3000400
Binary 1011011100100001010000 (22 bits)
Octal 0o13344120
Hexadecimal 0x2DC850

Divisor Catalog (60)

1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 577 650 1,040 1,154 1,300 2,308 2,600 2,885 4,616 5,200 5,770 7,501 9,232 11,540 14,425 15,002 23,080 28,850 30,004 37,505 46,160 57,700 60,008 75,010 115,400 120,016 150,020 187,525 230,800 300,040 375,050 600,080 750,100 1,500,200 3,000,400

Collatz Trajectory (138 steps to reach 1)

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

3,000,400 1,500,200 750,100 375,050 187,525 562,576 281,288 140,644 70,322 35,161 105,484 52,742 26,371 79,114 39,557 118,672 59,336 29,668 14,834 7,417 22,252 11,126 5,563 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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 #3,000,399 Browse Full Index Next Integer #3,000,401 →