λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,331,005
4,331,005
5 × 7 × 17 × 29 × 251
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 17 × 29 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,531,840
Proper Divisor Sum 2,200,835
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4330987 ← → #4331009

Radix Representation

Decimal 4331005
Binary 10000100001010111111101 (23 bits)
Octal 0o20412775
Hexadecimal 0x4215FD

Divisor Catalog (32)

1 5 7 17 29 35 85 119 145 203 251 493 595 1,015 1,255 1,757 2,465 3,451 4,267 7,279 8,785 17,255 21,335 29,869 36,395 50,953 123,743 149,345 254,765 618,715 866,201 4,331,005

Collatz Trajectory (149 steps to reach 1)

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

4,331,005 12,993,016 6,496,508 3,248,254 1,624,127 4,872,382 2,436,191 7,308,574 3,654,287 10,962,862 5,481,431 16,444,294 8,222,147 24,666,442 12,333,221 36,999,664 18,499,832 9,249,916 4,624,958 2,312,479 6,937,438 3,468,719 10,406,158 5,203,079 15,609,238 7,804,619 23,413,858 11,706,929 35,120,788 17,560,394 8,780,197 26,340,592 13,170,296 6,585,148 3,292,574 1,646,287 4,938,862 2,469,431 7,408,294 3,704,147 11,112,442 5,556,221 16,668,664 8,334,332 4,167,166 2,083,583 6,250,750 3,125,375 9,376,126 4,688,063 14,064,190 7,032,095 21,096,286 10,548,143 31,644,430 15,822,215 47,466,646 23,733,323 71,199,970 35,599,985

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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