λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,520,180
17,520,180
22 × 3 × 5 × 107 × 2729
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 107 × 2729
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 49,533,120
Proper Divisor Sum 32,012,940
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #17520179 ← → #17520193

Radix Representation

Decimal 17520180
Binary 1000010110101011000110100 (25 bits)
Octal 0o102653064
Hexadecimal 0x10B5634

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1,070 1,284 1,605 2,140 2,729 3,210 5,458 6,420 8,187 10,916 13,645 16,374 27,290 32,748 40,935 54,580 81,870 163,740 292,003 584,006 876,009 1,168,012 1,460,015 1,752,018 2,920,030 3,504,036 4,380,045 5,840,060 8,760,090 17,520,180

Collatz Trajectory (63 steps to reach 1)

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

17,520,180 8,760,090 4,380,045 13,140,136 6,570,068 3,285,034 1,642,517 4,927,552 2,463,776 1,231,888 615,944 307,972 153,986 76,993 230,980 115,490 57,745 173,236 86,618 43,309 129,928 64,964 32,482 16,241 48,724 24,362 12,181 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

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
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