λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,928,320
3,928,320
28 × 32 × 5 × 11 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^8 × 3^2 × 5 × 11 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 216
Divisor Sum (σ) 15,305,472
Proper Divisor Sum 11,377,152
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3928319 ← → #3928361

Radix Representation

Decimal 3928320
Binary 1110111111000100000000 (22 bits)
Octal 0o16770400
Hexadecimal 0x3BF100

Divisor Catalog (60 of 216)

1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 31 32 33 36 40 44 45 48 55 60 62 64 66 72 80 88 90 93 96 99 110 120 124 128 132 144 155 160 165 176 180 186 192 198 220 240 248 256 264 279 288 310

Collatz Trajectory (66 steps to reach 1)

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

3,928,320 1,964,160 982,080 491,040 245,520 122,760 61,380 30,690 15,345 46,036 23,018 11,509 34,528 17,264 8,632 4,316 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20

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 #3,928,319 Browse Full Index Next Integer #3,928,321 →