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6,563,403

33 × 72 × 112 × 41
Deficient Odd Composite

6,563,403 factors as 3^3 × 7^2 × 11^2 × 41. Its 72 positive divisors give a proper-divisor sum of 6,172,677, so this integer is deficient. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 3^3 × 7^2 × 11^2 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 12,736,080
Proper Divisor Sum 6,172,677
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6563383 ← → #6563407

Radix Representation

Decimal 6563403
Binary 11001000010011001001011 (23 bits)
Octal 0o31023113
Hexadecimal 0x64264B

Divisor Catalog (60 of 72)

1 3 7 9 11 21 27 33 41 49 63 77 99 121 123 147 189 231 287 297 363 369 441 451 539 693 847 861 1,089 1,107 1,323 1,353 1,617 2,009 2,079 2,541 2,583 3,157 3,267 4,059 4,851 4,961 5,929 6,027 7,623 7,749 9,471 12,177 14,553 14,883 17,787 18,081 22,099 22,869 28,413 34,727 44,649 53,361 54,243 66,297

Collatz Trajectory (178 steps to reach 1)

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

6,563,403 19,690,210 9,845,105 29,535,316 14,767,658 7,383,829 22,151,488 11,075,744 5,537,872 2,768,936 1,384,468 692,234 346,117 1,038,352 519,176 259,588 129,794 64,897 194,692 97,346 48,673 146,020 73,010 36,505 109,516 54,758 27,379 82,138 41,069 123,208 61,604 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193

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