λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,524,455
17,524,455
3 × 5 × 132 × 31 × 223
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 13^2 × 31 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,481,856
Proper Divisor Sum 13,957,401
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17524427 ← → #17524457

Radix Representation

Decimal 17524455
Binary 1000010110110011011100111 (25 bits)
Octal 0o102663347
Hexadecimal 0x10B66E7

Divisor Catalog (48)

1 3 5 13 15 31 39 65 93 155 169 195 223 403 465 507 669 845 1,115 1,209 2,015 2,535 2,899 3,345 5,239 6,045 6,913 8,697 14,495 15,717 20,739 26,195 34,565 37,687 43,485 78,585 89,869 103,695 113,061 188,435 269,607 449,345 565,305 1,168,297 1,348,035 3,504,891 5,841,485 17,524,455

Collatz Trajectory (107 steps to reach 1)

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

17,524,455 52,573,366 26,286,683 78,860,050 39,430,025 118,290,076 59,145,038 29,572,519 88,717,558 44,358,779 133,076,338 66,538,169 199,614,508 99,807,254 49,903,627 149,710,882 74,855,441 224,566,324 112,283,162 56,141,581 168,424,744 84,212,372 42,106,186 21,053,093 63,159,280 31,579,640 15,789,820 7,894,910 3,947,455 11,842,366 5,921,183 17,763,550 8,881,775 26,645,326 13,322,663 39,967,990 19,983,995 59,951,986 29,975,993 89,927,980 44,963,990 22,481,995 67,445,986 33,722,993 101,168,980 50,584,490 25,292,245 75,876,736 37,938,368 18,969,184 9,484,592 4,742,296 2,371,148 1,185,574 592,787 1,778,362 889,181 2,667,544 1,333,772 666,886

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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