λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,978,752
12,978,752
26 × 17 × 79 × 151
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 17 × 79 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 27,797,760
Proper Divisor Sum 14,819,008
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #12978737 ← → #12978773

Radix Representation

Decimal 12978752
Binary 110001100000101001000000 (24 bits)
Octal 0o61405100
Hexadecimal 0xC60A40

Divisor Catalog (56)

1 2 4 8 16 17 32 34 64 68 79 136 151 158 272 302 316 544 604 632 1,088 1,208 1,264 1,343 2,416 2,528 2,567 2,686 4,832 5,056 5,134 5,372 9,664 10,268 10,744 11,929 20,536 21,488 23,858 41,072 42,976 47,716 82,144 85,952 95,432 164,288 190,864 202,793 381,728 405,586 763,456 811,172 1,622,344 3,244,688 6,489,376 12,978,752

Collatz Trajectory (91 steps to reach 1)

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

12,978,752 6,489,376 3,244,688 1,622,344 811,172 405,586 202,793 608,380 304,190 152,095 456,286 228,143 684,430 342,215 1,026,646 513,323 1,539,970 769,985 2,309,956 1,154,978 577,489 1,732,468 866,234 433,117 1,299,352 649,676 324,838 162,419 487,258 243,629 730,888 365,444 182,722 91,361 274,084 137,042 68,521 205,564 102,782 51,391 154,174 77,087 231,262 115,631 346,894 173,447 520,342 260,171 780,514 390,257 1,170,772 585,386 292,693 878,080 439,040 219,520 109,760 54,880 27,440 13,720

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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