λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,302,003
13,302,003
3 × 11 × 13 × 101 × 307
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 13 × 101 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,111,552
Proper Divisor Sum 7,809,549
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #13301989 ← → #13302011

Radix Representation

Decimal 13302003
Binary 110010101111100011110011 (24 bits)
Octal 0o62574363
Hexadecimal 0xCAF8F3

Divisor Catalog (32)

1 3 11 13 33 39 101 143 303 307 429 921 1,111 1,313 3,333 3,377 3,939 3,991 10,131 11,973 14,443 31,007 43,329 43,901 93,021 131,703 341,077 403,091 1,023,231 1,209,273 4,434,001 13,302,003

Collatz Trajectory (104 steps to reach 1)

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

13,302,003 39,906,010 19,953,005 59,859,016 29,929,508 14,964,754 7,482,377 22,447,132 11,223,566 5,611,783 16,835,350 8,417,675 25,253,026 12,626,513 37,879,540 18,939,770 9,469,885 28,409,656 14,204,828 7,102,414 3,551,207 10,653,622 5,326,811 15,980,434 7,990,217 23,970,652 11,985,326 5,992,663 17,977,990 8,988,995 26,966,986 13,483,493 40,450,480 20,225,240 10,112,620 5,056,310 2,528,155 7,584,466 3,792,233 11,376,700 5,688,350 2,844,175 8,532,526 4,266,263 12,798,790 6,399,395 19,198,186 9,599,093 28,797,280 14,398,640 7,199,320 3,599,660 1,799,830 899,915 2,699,746 1,349,873 4,049,620 2,024,810 1,012,405 3,037,216

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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