λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,145,441
5,145,441
3 × 72 × 17 × 29 × 71
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 29 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,864,640
Proper Divisor Sum 3,719,199
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5145433 ← → #5145463

Radix Representation

Decimal 5145441
Binary 10011101000001101100001 (23 bits)
Octal 0o23501541
Hexadecimal 0x4E8361

Divisor Catalog (48)

1 3 7 17 21 29 49 51 71 87 119 147 203 213 357 493 497 609 833 1,207 1,421 1,479 1,491 2,059 2,499 3,451 3,479 3,621 4,263 6,177 8,449 10,353 10,437 14,413 24,157 25,347 35,003 43,239 59,143 72,471 100,891 105,009 177,429 245,021 302,673 735,063 1,715,147 5,145,441

Collatz Trajectory (188 steps to reach 1)

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

5,145,441 15,436,324 7,718,162 3,859,081 11,577,244 5,788,622 2,894,311 8,682,934 4,341,467 13,024,402 6,512,201 19,536,604 9,768,302 4,884,151 14,652,454 7,326,227 21,978,682 10,989,341 32,968,024 16,484,012 8,242,006 4,121,003 12,363,010 6,181,505 18,544,516 9,272,258 4,636,129 13,908,388 6,954,194 3,477,097 10,431,292 5,215,646 2,607,823 7,823,470 3,911,735 11,735,206 5,867,603 17,602,810 8,801,405 26,404,216 13,202,108 6,601,054 3,300,527 9,901,582 4,950,791 14,852,374 7,426,187 22,278,562 11,139,281 33,417,844 16,708,922 8,354,461 25,063,384 12,531,692 6,265,846 3,132,923 9,398,770 4,699,385 14,098,156 7,049,078

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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