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Ratio Atlas
Atlas › Integer Profiles › Node 5,657,769
5,657,769
37 × 13 × 199
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^7 × 13 × 199
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,184,000
Proper Divisor Sum 3,526,231
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #5657767 ← → #5657789

Radix Representation

Decimal 5657769
Binary 10101100101010010101001 (23 bits)
Octal 0o25452251
Hexadecimal 0x5654A9

Divisor Catalog (32)

1 3 9 13 27 39 81 117 199 243 351 597 729 1,053 1,791 2,187 2,587 3,159 5,373 7,761 9,477 16,119 23,283 28,431 48,357 69,849 145,071 209,547 435,213 628,641 1,885,923 5,657,769

Collatz Trajectory (170 steps to reach 1)

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

5,657,769 16,973,308 8,486,654 4,243,327 12,729,982 6,364,991 19,094,974 9,547,487 28,642,462 14,321,231 42,963,694 21,481,847 64,445,542 32,222,771 96,668,314 48,334,157 145,002,472 72,501,236 36,250,618 18,125,309 54,375,928 27,187,964 13,593,982 6,796,991 20,390,974 10,195,487 30,586,462 15,293,231 45,879,694 22,939,847 68,819,542 34,409,771 103,229,314 51,614,657 154,843,972 77,421,986 38,710,993 116,132,980 58,066,490 29,033,245 87,099,736 43,549,868 21,774,934 10,887,467 32,662,402 16,331,201 48,993,604 24,496,802 12,248,401 36,745,204 18,372,602 9,186,301 27,558,904 13,779,452 6,889,726 3,444,863 10,334,590 5,167,295 15,501,886 7,750,943

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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