λ
Ratio Atlas
Atlas › Integer Profiles › Node 477,120
477,120
26 × 3 × 5 × 7 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 1,755,648
Proper Divisor Sum 1,278,528
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #477091 ← → #477131

Radix Representation

Decimal 477120
Binary 1110100011111000000 (19 bits)
Octal 0o1643700
Hexadecimal 0x747C0

Divisor Catalog (60 of 112)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 71 80 84 96 105 112 120 140 142 160 168 192 210 213 224 240 280 284 320 336 355 420 426 448 480 497 560 568 672 710 840 852 960

Collatz Trajectory (76 steps to reach 1)

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

477,120 238,560 119,280 59,640 29,820 14,910 7,455 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88

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 #477,119 Browse Full Index Next Integer #477,121 →