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6,604,065

33 × 5 × 13 × 53 × 71
Deficient Odd Composite

6,604,065 factors as 3^3 × 5 × 13 × 53 × 71. Its 64 positive divisors give a proper-divisor sum of 6,459,615, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 13 × 53 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,063,680
Proper Divisor Sum 6,459,615
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6604063 ← → #6604097

Radix Representation

Decimal 6604065
Binary 11001001100010100100001 (23 bits)
Octal 0o31142441
Hexadecimal 0x64C521

Divisor Catalog (60 of 64)

1 3 5 9 13 15 27 39 45 53 65 71 117 135 159 195 213 265 351 355 477 585 639 689 795 923 1,065 1,431 1,755 1,917 2,067 2,385 2,769 3,195 3,445 3,763 4,615 6,201 7,155 8,307 9,585 10,335 11,289 13,845 18,603 18,815 24,921 31,005 33,867 41,535 48,919 56,445 93,015 101,601 124,605 146,757 169,335 244,595 440,271 508,005

Collatz Trajectory (147 steps to reach 1)

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

6,604,065 19,812,196 9,906,098 4,953,049 14,859,148 7,429,574 3,714,787 11,144,362 5,572,181 16,716,544 8,358,272 4,179,136 2,089,568 1,044,784 522,392 261,196 130,598 65,299 195,898 97,949 293,848 146,924 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904 78,452 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983

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