λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,965,375
7,965,375
3 × 53 × 11 × 1931
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^3 × 11 × 1931
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,466,816
Proper Divisor Sum 6,501,441
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7965371 ← → #7965379

Radix Representation

Decimal 7965375
Binary 11110011000101010111111 (23 bits)
Octal 0o36305277
Hexadecimal 0x798ABF

Divisor Catalog (32)

1 3 5 11 15 25 33 55 75 125 165 275 375 825 1,375 1,931 4,125 5,793 9,655 21,241 28,965 48,275 63,723 106,205 144,825 241,375 318,615 531,025 724,125 1,593,075 2,655,125 7,965,375

Collatz Trajectory (292 steps to reach 1)

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

7,965,375 23,896,126 11,948,063 35,844,190 17,922,095 53,766,286 26,883,143 80,649,430 40,324,715 120,974,146 60,487,073 181,461,220 90,730,610 45,365,305 136,095,916 68,047,958 34,023,979 102,071,938 51,035,969 153,107,908 76,553,954 38,276,977 114,830,932 57,415,466 28,707,733 86,123,200 43,061,600 21,530,800 10,765,400 5,382,700 2,691,350 1,345,675 4,037,026 2,018,513 6,055,540 3,027,770 1,513,885 4,541,656 2,270,828 1,135,414 567,707 1,703,122 851,561 2,554,684 1,277,342 638,671 1,916,014 958,007 2,874,022 1,437,011 4,311,034 2,155,517 6,466,552 3,233,276 1,616,638 808,319 2,424,958 1,212,479 3,637,438 1,818,719

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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