λ
Integer Codex

1,696,497

3 × 11 × 101 × 509
Deficient Odd Composite

For 1,696,497, the 16 positive divisors have a total of 2,496,960. Removing 1,696,497 leaves 800,463, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 101 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,496,960
Proper Divisor Sum 800,463
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1696493 ← → #1696501

Radix Representation

Decimal 1696497
Binary 110011110001011110001 (21 bits)
Octal 0o6361361
Hexadecimal 0x19E2F1

Divisor Catalog (16)

1 3 11 33 101 303 509 1,111 1,527 3,333 5,599 16,797 51,409 154,227 565,499 1,696,497

Collatz Trajectory (83 steps to reach 1)

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

1,696,497 5,089,492 2,544,746 1,272,373 3,817,120 1,908,560 954,280 477,140 238,570 119,285 357,856 178,928 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 4,256 2,128 1,064 532 266 133 400 200 100 50

More profiles

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