12,565,366

2 × 11² × 137 × 379

12,565,366 factors as 2 × 11^2 × 137 × 379. Its 24 positive divisors give a proper-divisor sum of 8,358,194, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 137 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,923,560

Proper Divisor Sum 8,358,194

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #12565361 ← → #12565379

Radix Representation

Decimal	12565366
Binary	101111111011101101110110 (24 bits)
Octal	0o57735566
Hexadecimal	0xBFBB76

Divisor Catalog (24)

Collatz Trajectory (135 steps to reach 1)

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

12,565,366 6,282,683 18,848,050 9,424,025 28,272,076 14,136,038 7,068,019 21,204,058 10,602,029 31,806,088 15,903,044 7,951,522 3,975,761 11,927,284 5,963,642 2,981,821 8,945,464 4,472,732 2,236,366 1,118,183 3,354,550 1,677,275 5,031,826 2,515,913 7,547,740 3,773,870 1,886,935 5,660,806 2,830,403 8,491,210 4,245,605 12,736,816 6,368,408 3,184,204 1,592,102 796,051 2,388,154 1,194,077 3,582,232 1,791,116 895,558 447,779 1,343,338 671,669 2,015,008 1,007,504 503,752 251,876 125,938 62,969 188,908 94,454 47,227 141,682 70,841 212,524 106,262 53,131 159,394 79,697

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