λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,480,754
12,480,754
2 × 11 × 13 × 172 × 151
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 13 × 17^2 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,518,656
Proper Divisor Sum 11,037,902
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12480751 ← → #12480757

Radix Representation

Decimal 12480754
Binary 101111100111000011110010 (24 bits)
Octal 0o57470362
Hexadecimal 0xBE70F2

Divisor Catalog (48)

1 2 11 13 17 22 26 34 143 151 187 221 286 289 302 374 442 578 1,661 1,963 2,431 2,567 3,179 3,322 3,757 3,926 4,862 5,134 6,358 7,514 21,593 28,237 33,371 41,327 43,186 43,639 56,474 66,742 82,654 87,278 367,081 480,029 567,307 734,162 960,058 1,134,614 6,240,377 12,480,754

Collatz Trajectory (135 steps to reach 1)

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

12,480,754 6,240,377 18,721,132 9,360,566 4,680,283 14,040,850 7,020,425 21,061,276 10,530,638 5,265,319 15,795,958 7,897,979 23,693,938 11,846,969 35,540,908 17,770,454 8,885,227 26,655,682 13,327,841 39,983,524 19,991,762 9,995,881 29,987,644 14,993,822 7,496,911 22,490,734 11,245,367 33,736,102 16,868,051 50,604,154 25,302,077 75,906,232 37,953,116 18,976,558 9,488,279 28,464,838 14,232,419 42,697,258 21,348,629 64,045,888 32,022,944 16,011,472 8,005,736 4,002,868 2,001,434 1,000,717 3,002,152 1,501,076 750,538 375,269 1,125,808 562,904 281,452 140,726 70,363 211,090 105,545 316,636 158,318 79,159

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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