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Ratio Atlas
Atlas › Integer Profiles › Node 13,005,232
13,005,232
24 × 401 × 2027
Deficient Even Composite

Prime Factor Structure

Factorization String 2^4 × 401 × 2027
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 25,272,936
Proper Divisor Sum 12,267,704
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #13005227 ← → #13005233

Radix Representation

Decimal 13005232
Binary 110001100111000110110000 (24 bits)
Octal 0o61470660
Hexadecimal 0xC671B0

Divisor Catalog (20)

1 2 4 8 16 401 802 1,604 2,027 3,208 4,054 6,416 8,108 16,216 32,432 812,827 1,625,654 3,251,308 6,502,616 13,005,232

Collatz Trajectory (179 steps to reach 1)

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

13,005,232 6,502,616 3,251,308 1,625,654 812,827 2,438,482 1,219,241 3,657,724 1,828,862 914,431 2,743,294 1,371,647 4,114,942 2,057,471 6,172,414 3,086,207 9,258,622 4,629,311 13,887,934 6,943,967 20,831,902 10,415,951 31,247,854 15,623,927 46,871,782 23,435,891 70,307,674 35,153,837 105,461,512 52,730,756 26,365,378 13,182,689 39,548,068 19,774,034 9,887,017 29,661,052 14,830,526 7,415,263 22,245,790 11,122,895 33,368,686 16,684,343 50,053,030 25,026,515 75,079,546 37,539,773 112,619,320 56,309,660 28,154,830 14,077,415 42,232,246 21,116,123 63,348,370 31,674,185 95,022,556 47,511,278 23,755,639 71,266,918 35,633,459 106,900,378

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
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