1,340,427

3 × 11 × 151 × 269

For 1,340,427, the 16 positive divisors have a total of 1,969,920. Removing 1,340,427 leaves 629,493, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 151 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,969,920

Proper Divisor Sum 629,493

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1340419 ← → #1340441

Radix Representation

Decimal	1340427
Binary	101000111010000001011 (21 bits)
Octal	0o5072013
Hexadecimal	0x14740B

Divisor Catalog (16)

1 3 11 33 151 269 453 807 1,661 2,959 4,983 8,877 40,619 121,857 446,809 1,340,427

Collatz Trajectory (93 steps to reach 1)

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

1,340,427 4,021,282 2,010,641 6,031,924 3,015,962 1,507,981 4,523,944 2,261,972 1,130,986 565,493 1,696,480 848,240 424,120 212,060 106,030 53,015 159,046 79,523 238,570 119,285 357,856 178,928 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236 56,618 28,309 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512

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