λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,872,037
9,872,037
34 × 7 × 23 × 757
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 7 × 23 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,609,856
Proper Divisor Sum 7,737,819
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9872017 ← → #9872047

Radix Representation

Decimal 9872037
Binary 100101101010001010100101 (24 bits)
Octal 0o45521245
Hexadecimal 0x96A2A5

Divisor Catalog (40)

1 3 7 9 21 23 27 63 69 81 161 189 207 483 567 621 757 1,449 1,863 2,271 4,347 5,299 6,813 13,041 15,897 17,411 20,439 47,691 52,233 61,317 121,877 143,073 156,699 365,631 429,219 470,097 1,096,893 1,410,291 3,290,679 9,872,037

Collatz Trajectory (313 steps to reach 1)

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

9,872,037 29,616,112 14,808,056 7,404,028 3,702,014 1,851,007 5,553,022 2,776,511 8,329,534 4,164,767 12,494,302 6,247,151 18,741,454 9,370,727 28,112,182 14,056,091 42,168,274 21,084,137 63,252,412 31,626,206 15,813,103 47,439,310 23,719,655 71,158,966 35,579,483 106,738,450 53,369,225 160,107,676 80,053,838 40,026,919 120,080,758 60,040,379 180,121,138 90,060,569 270,181,708 135,090,854 67,545,427 202,636,282 101,318,141 303,954,424 151,977,212 75,988,606 37,994,303 113,982,910 56,991,455 170,974,366 85,487,183 256,461,550 128,230,775 384,692,326 192,346,163 577,038,490 288,519,245 865,557,736 432,778,868 216,389,434 108,194,717 324,584,152 162,292,076 81,146,038

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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