λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,645,828
13,645,828
22 × 7 × 31 × 79 × 199
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 31 × 79 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 28,672,000
Proper Divisor Sum 15,026,172
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #13645811 ← → #13645829

Radix Representation

Decimal 13645828
Binary 110100000011100000000100 (24 bits)
Octal 0o64034004
Hexadecimal 0xD03804

Divisor Catalog (48)

1 2 4 7 14 28 31 62 79 124 158 199 217 316 398 434 553 796 868 1,106 1,393 2,212 2,449 2,786 4,898 5,572 6,169 9,796 12,338 15,721 17,143 24,676 31,442 34,286 43,183 62,884 68,572 86,366 110,047 172,732 220,094 440,188 487,351 974,702 1,949,404 3,411,457 6,822,914 13,645,828

Collatz Trajectory (192 steps to reach 1)

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

13,645,828 6,822,914 3,411,457 10,234,372 5,117,186 2,558,593 7,675,780 3,837,890 1,918,945 5,756,836 2,878,418 1,439,209 4,317,628 2,158,814 1,079,407 3,238,222 1,619,111 4,857,334 2,428,667 7,286,002 3,643,001 10,929,004 5,464,502 2,732,251 8,196,754 4,098,377 12,295,132 6,147,566 3,073,783 9,221,350 4,610,675 13,832,026 6,916,013 20,748,040 10,374,020 5,187,010 2,593,505 7,780,516 3,890,258 1,945,129 5,835,388 2,917,694 1,458,847 4,376,542 2,188,271 6,564,814 3,282,407 9,847,222 4,923,611 14,770,834 7,385,417 22,156,252 11,078,126 5,539,063 16,617,190 8,308,595 24,925,786 12,462,893 37,388,680 18,694,340

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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