1,349,513

11² × 19 × 587

For 1,349,513, the 12 positive divisors have a total of 1,564,080. Removing 1,349,513 leaves 214,567, which gives the deficient classification.

Prime Factor Structure

Factorization String 11^2 × 19 × 587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,564,080

Proper Divisor Sum 214,567

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1349473 ← → #1349531

Radix Representation

Decimal	1349513
Binary	101001001011110001001 (21 bits)
Octal	0o5113611
Hexadecimal	0x149789

Divisor Catalog (12)

1 11 19 121 209 587 2,299 6,457 11,153 71,027 122,683 1,349,513

Collatz Trajectory (199 steps to reach 1)

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

1,349,513 4,048,540 2,024,270 1,012,135 3,036,406 1,518,203 4,554,610 2,277,305 6,831,916 3,415,958 1,707,979 5,123,938 2,561,969 7,685,908 3,842,954 1,921,477 5,764,432 2,882,216 1,441,108 720,554 360,277 1,080,832 540,416 270,208 135,104 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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