λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,317,752
8,317,752
23 × 3 × 41 × 79 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 79 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 21,772,800
Proper Divisor Sum 13,455,048
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8317747 ← → #8317753

Radix Representation

Decimal 8317752
Binary 11111101110101100111000 (23 bits)
Octal 0o37565470
Hexadecimal 0x7EEB38

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 24 41 79 82 107 123 158 164 214 237 246 316 321 328 428 474 492 632 642 856 948 984 1,284 1,896 2,568 3,239 4,387 6,478 8,453 8,774 9,717 12,956 13,161 16,906 17,548 19,434 25,359 25,912 26,322 33,812 35,096 38,868 50,718 52,644 67,624 77,736 101,436 105,288 202,872 346,573 693,146 1,039,719 1,386,292

Collatz Trajectory (248 steps to reach 1)

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

8,317,752 4,158,876 2,079,438 1,039,719 3,119,158 1,559,579 4,678,738 2,339,369 7,018,108 3,509,054 1,754,527 5,263,582 2,631,791 7,895,374 3,947,687 11,843,062 5,921,531 17,764,594 8,882,297 26,646,892 13,323,446 6,661,723 19,985,170 9,992,585 29,977,756 14,988,878 7,494,439 22,483,318 11,241,659 33,724,978 16,862,489 50,587,468 25,293,734 12,646,867 37,940,602 18,970,301 56,910,904 28,455,452 14,227,726 7,113,863 21,341,590 10,670,795 32,012,386 16,006,193 48,018,580 24,009,290 12,004,645 36,013,936 18,006,968 9,003,484 4,501,742 2,250,871 6,752,614 3,376,307 10,128,922 5,064,461 15,193,384 7,596,692 3,798,346 1,899,173

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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