λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,071,159
10,071,159
3 × 7 × 19 × 43 × 587
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 19 × 43 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,558,080
Proper Divisor Sum 6,486,921
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10071143 ← → #10071163

Radix Representation

Decimal 10071159
Binary 100110011010110001110111 (24 bits)
Octal 0o46326167
Hexadecimal 0x99AC77

Divisor Catalog (32)

1 3 7 19 21 43 57 129 133 301 399 587 817 903 1,761 2,451 4,109 5,719 11,153 12,327 17,157 25,241 33,459 75,723 78,071 176,687 234,213 479,579 530,061 1,438,737 3,357,053 10,071,159

Collatz Trajectory (207 steps to reach 1)

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

10,071,159 30,213,478 15,106,739 45,320,218 22,660,109 67,980,328 33,990,164 16,995,082 8,497,541 25,492,624 12,746,312 6,373,156 3,186,578 1,593,289 4,779,868 2,389,934 1,194,967 3,584,902 1,792,451 5,377,354 2,688,677 8,066,032 4,033,016 2,016,508 1,008,254 504,127 1,512,382 756,191 2,268,574 1,134,287 3,402,862 1,701,431 5,104,294 2,552,147 7,656,442 3,828,221 11,484,664 5,742,332 2,871,166 1,435,583 4,306,750 2,153,375 6,460,126 3,230,063 9,690,190 4,845,095 14,535,286 7,267,643 21,802,930 10,901,465 32,704,396 16,352,198 8,176,099 24,528,298 12,264,149 36,792,448 18,396,224 9,198,112 4,599,056 2,299,528

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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