3,387,264

2⁷ × 3 × 8821

For 3,387,264, the 32 positive divisors have a total of 8,998,440. Removing 3,387,264 leaves 5,611,176, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^7 × 3 × 8821

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,998,440

Proper Divisor Sum 5,611,176

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3387253 ← → #3387271

Radix Representation

Decimal	3387264
Binary	1100111010111110000000 (22 bits)
Octal	0o14727600
Hexadecimal	0x33AF80

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 8,821 17,642 26,463 35,284 52,926 70,568 105,852 141,136 211,704 282,272 423,408 564,544 846,816 1,129,088 1,693,632 3,387,264

Collatz Trajectory (146 steps to reach 1)

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

3,387,264 1,693,632 846,816 423,408 211,704 105,852 52,926 26,463 79,390 39,695 119,086 59,543 178,630 89,315 267,946 133,973 401,920 200,960 100,480 50,240 25,120 12,560 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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