3,313,376

2⁵ × 11 × 9413

3,313,376 factors as 2^5 × 11 × 9413. Its 24 positive divisors give a proper-divisor sum of 3,803,608, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 9413

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,116,984

Proper Divisor Sum 3,803,608

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3313369 ← → #3313399

Radix Representation

Decimal	3313376
Binary	1100101000111011100000 (22 bits)
Octal	0o14507340
Hexadecimal	0x328EE0

Divisor Catalog (24)

Collatz Trajectory (177 steps to reach 1)

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

3,313,376 1,656,688 828,344 414,172 207,086 103,543 310,630 155,315 465,946 232,973 698,920 349,460 174,730 87,365 262,096 131,048 65,524 32,762 16,381 49,144 24,572 12,286 6,143 18,430 9,215 27,646 13,823 41,470 20,735 62,206 31,103 93,310 46,655 139,966 69,983 209,950 104,975 314,926 157,463 472,390 236,195 708,586 354,293 1,062,880 531,440 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700

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