λ
Ratio Atlas
Atlas › Integer Profiles › Node 772,160
772,160
26 × 5 × 19 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 19 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 1,950,720
Proper Divisor Sum 1,178,560
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #772159 ← → #772169

Radix Representation

Decimal 772160
Binary 10111100100001000000 (20 bits)
Octal 0o2744100
Hexadecimal 0xBC840

Divisor Catalog (56)

1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 127 152 160 190 254 304 320 380 508 608 635 760 1,016 1,216 1,270 1,520 2,032 2,413 2,540 3,040 4,064 4,826 5,080 6,080 8,128 9,652 10,160 12,065 19,304 20,320 24,130 38,608 40,640 48,260 77,216 96,520 154,432 193,040 386,080 772,160

Collatz Trajectory (56 steps to reach 1)

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

772,160 386,080 193,040 96,520 48,260 24,130 12,065 36,196 18,098 9,049 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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 #772,159 Browse Full Index Next Integer #772,161 →