λ
Ratio Atlas
Atlas › Integer Profiles › Node 768,600
768,600
23 × 32 × 52 × 7 × 61
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 7 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 2,998,320
Proper Divisor Sum 2,229,720
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #768589 ← → #768613

Radix Representation

Decimal 768600
Binary 10111011101001011000 (20 bits)
Octal 0o2735130
Hexadecimal 0xBBA58

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 50 56 60 61 63 70 72 75 84 90 100 105 120 122 126 140 150 168 175 180 183 200 210 225 244 252 280 300 305 315 350 360 366 420 427

Collatz Trajectory (48 steps to reach 1)

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

768,600 384,300 192,150 96,075 288,226 144,113 432,340 216,170 108,085 324,256 162,128 81,064 40,532 20,266 10,133 30,400 15,200 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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 #768,599 Browse Full Index Next Integer #768,601 →