λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,967,775
3,967,775
52 × 72 × 41 × 79
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 7^2 × 41 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,937,120
Proper Divisor Sum 1,969,345
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3967741 ← → #3967793

Radix Representation

Decimal 3967775
Binary 1111001000101100011111 (22 bits)
Octal 0o17105437
Hexadecimal 0x3C8B1F

Divisor Catalog (36)

1 5 7 25 35 41 49 79 175 205 245 287 395 553 1,025 1,225 1,435 1,975 2,009 2,765 3,239 3,871 7,175 10,045 13,825 16,195 19,355 22,673 50,225 80,975 96,775 113,365 158,711 566,825 793,555 3,967,775

Collatz Trajectory (97 steps to reach 1)

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

3,967,775 11,903,326 5,951,663 17,854,990 8,927,495 26,782,486 13,391,243 40,173,730 20,086,865 60,260,596 30,130,298 15,065,149 45,195,448 22,597,724 11,298,862 5,649,431 16,948,294 8,474,147 25,422,442 12,711,221 38,133,664 19,066,832 9,533,416 4,766,708 2,383,354 1,191,677 3,575,032 1,787,516 893,758 446,879 1,340,638 670,319 2,010,958 1,005,479 3,016,438 1,508,219 4,524,658 2,262,329 6,786,988 3,393,494 1,696,747 5,090,242 2,545,121 7,635,364 3,817,682 1,908,841 5,726,524 2,863,262 1,431,631 4,294,894 2,147,447 6,442,342 3,221,171 9,663,514 4,831,757 14,495,272 7,247,636 3,623,818 1,811,909 5,435,728

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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