6,563,337

3 × 11 × 59 × 3371

6,563,337 factors as 3 × 11 × 59 × 3371. Its 16 positive divisors give a proper-divisor sum of 3,148,023, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 11 × 59 × 3371

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,711,360

Proper Divisor Sum 3,148,023

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6563327 ← → #6563371

Radix Representation

Decimal	6563337
Binary	11001000010011000001001 (23 bits)
Octal	0o31023011
Hexadecimal	0x642609

Divisor Catalog (16)

1 3 11 33 59 177 649 1,947 3,371 10,113 37,081 111,243 198,889 596,667 2,187,779 6,563,337

Collatz Trajectory (165 steps to reach 1)

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

6,563,337 19,690,012 9,845,006 4,922,503 14,767,510 7,383,755 22,151,266 11,075,633 33,226,900 16,613,450 8,306,725 24,920,176 12,460,088 6,230,044 3,115,022 1,557,511 4,672,534 2,336,267 7,008,802 3,504,401 10,513,204 5,256,602 2,628,301 7,884,904 3,942,452 1,971,226 985,613 2,956,840 1,478,420 739,210 369,605 1,108,816 554,408 277,204 138,602 69,301 207,904 103,952 51,976 25,988 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941

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