λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,360,415
8,360,415
35 × 5 × 7 × 983
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5 × 7 × 983
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,192,448
Proper Divisor Sum 8,832,033
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8360411 ← → #8360419

Radix Representation

Decimal 8360415
Binary 11111111001000111011111 (23 bits)
Octal 0o37710737
Hexadecimal 0x7F91DF

Divisor Catalog (48)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 983 1,215 1,701 2,835 2,949 4,915 6,881 8,505 8,847 14,745 20,643 26,541 34,405 44,235 61,929 79,623 103,215 132,705 185,787 238,869 309,645 398,115 557,361 928,935 1,194,345 1,672,083 2,786,805 8,360,415

Collatz Trajectory (274 steps to reach 1)

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

8,360,415 25,081,246 12,540,623 37,621,870 18,810,935 56,432,806 28,216,403 84,649,210 42,324,605 126,973,816 63,486,908 31,743,454 15,871,727 47,615,182 23,807,591 71,422,774 35,711,387 107,134,162 53,567,081 160,701,244 80,350,622 40,175,311 120,525,934 60,262,967 180,788,902 90,394,451 271,183,354 135,591,677 406,775,032 203,387,516 101,693,758 50,846,879 152,540,638 76,270,319 228,810,958 114,405,479 343,216,438 171,608,219 514,824,658 257,412,329 772,236,988 386,118,494 193,059,247 579,177,742 289,588,871 868,766,614 434,383,307 1,303,149,922 651,574,961 1,954,724,884 977,362,442 488,681,221 1,466,043,664 733,021,832 366,510,916 183,255,458 91,627,729 274,883,188 137,441,594 68,720,797

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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