λ
Ratio Atlas
Atlas › Integer Profiles › Node 772,464
772,464
24 × 3 × 7 × 112 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 11^2 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 2,638,720
Proper Divisor Sum 1,866,256
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #772459 ← → #772477

Radix Representation

Decimal 772464
Binary 10111100100101110000 (20 bits)
Octal 0o2744560
Hexadecimal 0xBC970

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 11 12 14 16 19 21 22 24 28 33 38 42 44 48 56 57 66 76 77 84 88 112 114 121 132 133 152 154 168 176 209 228 231 242 264 266 304 308 336 363 399 418 456 462 484 528 532 616 627 726 798 836 847

Collatz Trajectory (48 steps to reach 1)

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

772,464 386,232 193,116 96,558 48,279 144,838 72,419 217,258 108,629 325,888 162,944 81,472 40,736 20,368 10,184 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 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 #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 #772,463 Browse Full Index Next Integer #772,465 →