2,502,165

3 × 5 × 31 × 5381

2,502,165 is odd and not a perfect square. Its factorization is 3 × 5 × 31 × 5381 and its 16 divisors sum to 4,133,376.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 5381

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,133,376

Proper Divisor Sum 1,631,211

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2502163 ← → #2502169

Radix Representation

Decimal	2502165
Binary	1001100010111000010101 (22 bits)
Octal	0o11427025
Hexadecimal	0x262E15

Divisor Catalog (16)

1 3 5 15 31 93 155 465 5,381 16,143 26,905 80,715 166,811 500,433 834,055 2,502,165

Collatz Trajectory (135 steps to reach 1)

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

2,502,165 7,506,496 3,753,248 1,876,624 938,312 469,156 234,578 117,289 351,868 175,934 87,967 263,902 131,951 395,854 197,927 593,782 296,891 890,674 445,337 1,336,012 668,006 334,003 1,002,010 501,005 1,503,016 751,508 375,754 187,877 563,632 281,816 140,908 70,454 35,227 105,682 52,841 158,524 79,262 39,631 118,894 59,447 178,342 89,171 267,514 133,757 401,272 200,636 100,318 50,159 150,478 75,239 225,718 112,859 338,578 169,289 507,868 253,934 126,967 380,902 190,451 571,354

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