λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,648,400
3,648,400
24 × 52 × 7 × 1303
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 1303
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,025,152
Proper Divisor Sum 6,376,752
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3648391 ← → #3648409

Radix Representation

Decimal 3648400
Binary 1101111010101110010000 (22 bits)
Octal 0o15725620
Hexadecimal 0x37AB90

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1,303 1,400 2,606 2,800 5,212 6,515 9,121 10,424 13,030 18,242 20,848 26,060 32,575 36,484 45,605 52,120 65,150 72,968 91,210 104,240 130,300 145,936 182,420 228,025 260,600 364,840 456,050 521,200 729,680 912,100 1,824,200 3,648,400

Collatz Trajectory (159 steps to reach 1)

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

3,648,400 1,824,200 912,100 456,050 228,025 684,076 342,038 171,019 513,058 256,529 769,588 384,794 192,397 577,192 288,596 144,298 72,149 216,448 108,224 54,112 27,056 13,528 6,764 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #3,648,399 Browse Full Index Next Integer #3,648,401 →