2,751,272

2³ × 331 × 1039

2,751,272 factors as 2^3 × 331 × 1039. Its 16 positive divisors give a proper-divisor sum of 2,427,928, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2^3 × 331 × 1039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,179,200

Proper Divisor Sum 2,427,928

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2751253 ← → #2751293

Radix Representation

Decimal	2751272
Binary	1010011111101100101000 (22 bits)
Octal	0o12375450
Hexadecimal	0x29FB28

Divisor Catalog (16)

1 2 4 8 331 662 1,039 1,324 2,078 2,648 4,156 8,312 343,909 687,818 1,375,636 2,751,272

Collatz Trajectory (107 steps to reach 1)

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

2,751,272 1,375,636 687,818 343,909 1,031,728 515,864 257,932 128,966 64,483 193,450 96,725 290,176 145,088 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494

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