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Ratio Atlas
Atlas › Integer Profiles › Node 3,978,261
3,978,261
33 × 72 × 31 × 97
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^2 × 31 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,150,080
Proper Divisor Sum 3,171,819
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3978257 ← → #3978263

Radix Representation

Decimal 3978261
Binary 1111001011010000010101 (22 bits)
Octal 0o17132025
Hexadecimal 0x3CB415

Divisor Catalog (48)

1 3 7 9 21 27 31 49 63 93 97 147 189 217 279 291 441 651 679 837 873 1,323 1,519 1,953 2,037 2,619 3,007 4,557 4,753 5,859 6,111 9,021 13,671 14,259 18,333 21,049 27,063 41,013 42,777 63,147 81,189 128,331 147,343 189,441 442,029 568,323 1,326,087 3,978,261

Collatz Trajectory (123 steps to reach 1)

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

3,978,261 11,934,784 5,967,392 2,983,696 1,491,848 745,924 372,962 186,481 559,444 279,722 139,861 419,584 209,792 104,896 52,448 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270

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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