6,165,225

3² × 5² × 11 × 47 × 53

6,165,225 is odd and not a perfect square. Its factorization is 3^2 × 5^2 × 11 × 47 × 53 and its 72 divisors sum to 12,534,912.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 47 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 12,534,912

Proper Divisor Sum 6,369,687

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6165221 ← → #6165227

Radix Representation

Decimal	6165225
Binary	10111100001001011101001 (23 bits)
Octal	0o27411351
Hexadecimal	0x5E12E9

Divisor Catalog (60 of 72)

1 3 5 9 11 15 25 33 45 47 53 55 75 99 141 159 165 225 235 265 275 423 477 495 517 583 705 795 825 1,175 1,325 1,551 1,749 2,115 2,385 2,475 2,491 2,585 2,915 3,525 3,975 4,653 5,247 7,473 7,755 8,745 10,575 11,925 12,455 12,925 14,575 22,419 23,265 26,235 27,401 37,365 38,775 43,725 62,275 82,203

Collatz Trajectory (364 steps to reach 1)

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

6,165,225 18,495,676 9,247,838 4,623,919 13,871,758 6,935,879 20,807,638 10,403,819 31,211,458 15,605,729 46,817,188 23,408,594 11,704,297 35,112,892 17,556,446 8,778,223 26,334,670 13,167,335 39,502,006 19,751,003 59,253,010 29,626,505 88,879,516 44,439,758 22,219,879 66,659,638 33,329,819 99,989,458 49,994,729 149,984,188 74,992,094 37,496,047 112,488,142 56,244,071 168,732,214 84,366,107 253,098,322 126,549,161 379,647,484 189,823,742 94,911,871 284,735,614 142,367,807 427,103,422 213,551,711 640,655,134 320,327,567 960,982,702 480,491,351 1,441,474,054 720,737,027 2,162,211,082 1,081,105,541 3,243,316,624 1,621,658,312 810,829,156 405,414,578 202,707,289 608,121,868 304,060,934

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