λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,246,764
52,246,764
22 × 32 × 53 × 139 × 197
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 53 × 139 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 136,216,080
Proper Divisor Sum 83,969,316
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #52246759 ← → #52246771

Radix Representation

Decimal 52246764
Binary 11000111010011100011101100 (26 bits)
Octal 0o307234354
Hexadecimal 0x31D38EC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 36 53 106 139 159 197 212 278 318 394 417 477 556 591 636 788 834 954 1,182 1,251 1,668 1,773 1,908 2,364 2,502 3,546 5,004 7,092 7,367 10,441 14,734 20,882 22,101 27,383 29,468 31,323 41,764 44,202 54,766 62,646 66,303 82,149 88,404 93,969 109,532 125,292 132,606 164,298 187,938 246,447 265,212 328,596

Collatz Trajectory (124 steps to reach 1)

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

52,246,764 26,123,382 13,061,691 39,185,074 19,592,537 58,777,612 29,388,806 14,694,403 44,083,210 22,041,605 66,124,816 33,062,408 16,531,204 8,265,602 4,132,801 12,398,404 6,199,202 3,099,601 9,298,804 4,649,402 2,324,701 6,974,104 3,487,052 1,743,526 871,763 2,615,290 1,307,645 3,922,936 1,961,468 980,734 490,367 1,471,102 735,551 2,206,654 1,103,327 3,309,982 1,654,991 4,964,974 2,482,487 7,447,462 3,723,731 11,171,194 5,585,597 16,756,792 8,378,396 4,189,198 2,094,599 6,283,798 3,141,899 9,425,698 4,712,849 14,138,548 7,069,274 3,534,637 10,603,912 5,301,956 2,650,978 1,325,489 3,976,468 1,988,234

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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