λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,704,392
7,704,392
23 × 41 × 83 × 283
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 41 × 83 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,029,280
Proper Divisor Sum 7,324,888
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7704341 ← → #7704407

Radix Representation

Decimal 7704392
Binary 11101011000111101001000 (23 bits)
Octal 0o35307510
Hexadecimal 0x758F48

Divisor Catalog (32)

1 2 4 8 41 82 83 164 166 283 328 332 566 664 1,132 2,264 3,403 6,806 11,603 13,612 23,206 23,489 27,224 46,412 46,978 92,824 93,956 187,912 963,049 1,926,098 3,852,196 7,704,392

Collatz Trajectory (248 steps to reach 1)

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

7,704,392 3,852,196 1,926,098 963,049 2,889,148 1,444,574 722,287 2,166,862 1,083,431 3,250,294 1,625,147 4,875,442 2,437,721 7,313,164 3,656,582 1,828,291 5,484,874 2,742,437 8,227,312 4,113,656 2,056,828 1,028,414 514,207 1,542,622 771,311 2,313,934 1,156,967 3,470,902 1,735,451 5,206,354 2,603,177 7,809,532 3,904,766 1,952,383 5,857,150 2,928,575 8,785,726 4,392,863 13,178,590 6,589,295 19,767,886 9,883,943 29,651,830 14,825,915 44,477,746 22,238,873 66,716,620 33,358,310 16,679,155 50,037,466 25,018,733 75,056,200 37,528,100 18,764,050 9,382,025 28,146,076 14,073,038 7,036,519 21,109,558 10,554,779

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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