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Atlas › Integer Profiles › Node 20,763,561

20,763,561

3 × 7 × 13 × 19 × 4003
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 13 × 19 × 4003
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,875,840
Proper Divisor Sum 15,112,279
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #20763559 ← → #20763571

Radix Representation

Decimal 20763561
Binary 1001111001101001110101001 (25 bits)
Octal 0o117151651
Hexadecimal 0x13CD3A9

Divisor Catalog (32)

1 3 7 13 19 21 39 57 91 133 247 273 399 741 1,729 4,003 5,187 12,009 28,021 52,039 76,057 84,063 156,117 228,171 364,273 532,399 988,741 1,092,819 1,597,197 2,966,223 6,921,187 20,763,561

Collatz Trajectory (327 steps to reach 1)

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

20,763,561 62,290,684 31,145,342 15,572,671 46,718,014 23,359,007 70,077,022 35,038,511 105,115,534 52,557,767 157,673,302 78,836,651 236,509,954 118,254,977 354,764,932 177,382,466 88,691,233 266,073,700 133,036,850 66,518,425 199,555,276 99,777,638 49,888,819 149,666,458 74,833,229 224,499,688 112,249,844 56,124,922 28,062,461 84,187,384 42,093,692 21,046,846 10,523,423 31,570,270 15,785,135 47,355,406 23,677,703 71,033,110 35,516,555 106,549,666 53,274,833 159,824,500 79,912,250 39,956,125 119,868,376 59,934,188 29,967,094 14,983,547 44,950,642 22,475,321 67,425,964 33,712,982 16,856,491 50,569,474 25,284,737 75,854,212 37,927,106 18,963,553 56,890,660 28,445,330

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