549,549

3² × 7 × 11 × 13 × 61

549,549 factors as 3^2 × 7 × 11 × 13 × 61. Its 48 positive divisors give a proper-divisor sum of 533,715, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 11 × 13 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,083,264

Proper Divisor Sum 533,715

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #549547 ← → #549551

Radix Representation

Decimal	549549
Binary	10000110001010101101 (20 bits)
Octal	0o2061255
Hexadecimal	0x862AD

Divisor Catalog (48)

1 3 7 9 11 13 21 33 39 61 63 77 91 99 117 143 183 231 273 427 429 549 671 693 793 819 1,001 1,281 1,287 2,013 2,379 3,003 3,843 4,697 5,551 6,039 7,137 8,723 9,009 14,091 16,653 26,169 42,273 49,959 61,061 78,507 183,183 549,549

Collatz Trajectory (208 steps to reach 1)

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

549,549 1,648,648 824,324 412,162 206,081 618,244 309,122 154,561 463,684 231,842 115,921 347,764 173,882 86,941 260,824 130,412 65,206 32,603 97,810 48,905 146,716 73,358 36,679 110,038 55,019 165,058 82,529 247,588 123,794 61,897 185,692 92,846 46,423 139,270 69,635 208,906 104,453 313,360 156,680 78,340 39,170 19,585 58,756 29,378 14,689 44,068 22,034 11,017 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918

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