1,341,093

3 × 13 × 137 × 251

For 1,341,093, the 16 positive divisors have a total of 1,947,456. Removing 1,341,093 leaves 606,363, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 137 × 251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,947,456

Proper Divisor Sum 606,363

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1341089 ← → #1341097

Radix Representation

Decimal	1341093
Binary	101000111011010100101 (21 bits)
Octal	0o5073245
Hexadecimal	0x1476A5

Divisor Catalog (16)

1 3 13 39 137 251 411 753 1,781 3,263 5,343 9,789 34,387 103,161 447,031 1,341,093

Collatz Trajectory (137 steps to reach 1)

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

1,341,093 4,023,280 2,011,640 1,005,820 502,910 251,455 754,366 377,183 1,131,550 565,775 1,697,326 848,663 2,545,990 1,272,995 3,818,986 1,909,493 5,728,480 2,864,240 1,432,120 716,060 358,030 179,015 537,046 268,523 805,570 402,785 1,208,356 604,178 302,089 906,268 453,134 226,567 679,702 339,851 1,019,554 509,777 1,529,332 764,666 382,333 1,147,000 573,500 286,750 143,375 430,126 215,063 645,190 322,595 967,786 483,893 1,451,680 725,840 362,920 181,460 90,730 45,365 136,096 68,048 34,024 17,012 8,506

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