λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,213,232
12,213,232
24 × 47 × 109 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 47 × 109 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,552,000
Proper Divisor Sum 12,338,768
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #12213221 ← → #12213241

Radix Representation

Decimal 12213232
Binary 101110100101101111110000 (24 bits)
Octal 0o56455760
Hexadecimal 0xBA5BF0

Divisor Catalog (40)

1 2 4 8 16 47 94 109 149 188 218 298 376 436 596 752 872 1,192 1,744 2,384 5,123 7,003 10,246 14,006 16,241 20,492 28,012 32,482 40,984 56,024 64,964 81,968 112,048 129,928 259,856 763,327 1,526,654 3,053,308 6,106,616 12,213,232

Collatz Trajectory (197 steps to reach 1)

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

12,213,232 6,106,616 3,053,308 1,526,654 763,327 2,289,982 1,144,991 3,434,974 1,717,487 5,152,462 2,576,231 7,728,694 3,864,347 11,593,042 5,796,521 17,389,564 8,694,782 4,347,391 13,042,174 6,521,087 19,563,262 9,781,631 29,344,894 14,672,447 44,017,342 22,008,671 66,026,014 33,013,007 99,039,022 49,519,511 148,558,534 74,279,267 222,837,802 111,418,901 334,256,704 167,128,352 83,564,176 41,782,088 20,891,044 10,445,522 5,222,761 15,668,284 7,834,142 3,917,071 11,751,214 5,875,607 17,626,822 8,813,411 26,440,234 13,220,117 39,660,352 19,830,176 9,915,088 4,957,544 2,478,772 1,239,386 619,693 1,859,080 929,540 464,770

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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