λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,355,347
8,355,347
7 × 11 × 13 × 17 × 491
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 11 × 13 × 17 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,902,464
Proper Divisor Sum 3,547,117
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8355343 ← → #8355359

Radix Representation

Decimal 8355347
Binary 11111110111111000010011 (23 bits)
Octal 0o37677023
Hexadecimal 0x7F7E13

Divisor Catalog (32)

1 7 11 13 17 77 91 119 143 187 221 491 1,001 1,309 1,547 2,431 3,437 5,401 6,383 8,347 17,017 37,807 44,681 58,429 70,213 91,817 108,511 491,491 642,719 759,577 1,193,621 8,355,347

Collatz Trajectory (199 steps to reach 1)

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

8,355,347 25,066,042 12,533,021 37,599,064 18,799,532 9,399,766 4,699,883 14,099,650 7,049,825 21,149,476 10,574,738 5,287,369 15,862,108 7,931,054 3,965,527 11,896,582 5,948,291 17,844,874 8,922,437 26,767,312 13,383,656 6,691,828 3,345,914 1,672,957 5,018,872 2,509,436 1,254,718 627,359 1,882,078 941,039 2,823,118 1,411,559 4,234,678 2,117,339 6,352,018 3,176,009 9,528,028 4,764,014 2,382,007 7,146,022 3,573,011 10,719,034 5,359,517 16,078,552 8,039,276 4,019,638 2,009,819 6,029,458 3,014,729 9,044,188 4,522,094 2,261,047 6,783,142 3,391,571 10,174,714 5,087,357 15,262,072 7,631,036 3,815,518 1,907,759

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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