λ
Harmonic Matrix

3,321,817

17 × 195401
Deficient Odd Composite

3,321,817 has digital root 7. The neighboring primes are 3321781 and 3321841; its proper-divisor sum differs from the starting integer by -3,126,398.

Prime Factor Structure

Factorization String 17 × 195401
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,517,236
Proper Divisor Sum 195,419
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3321781 ← → #3321841

Radix Representation

Decimal 3321817
Binary 1100101010111111011001 (22 bits)
Octal 0o14527731
Hexadecimal 0x32AFD9

Divisor Catalog (4)

1 17 195,401 3,321,817

Collatz Trajectory (177 steps to reach 1)

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

3,321,817 9,965,452 4,982,726 2,491,363 7,474,090 3,737,045 11,211,136 5,605,568 2,802,784 1,401,392 700,696 350,348 175,174 87,587 262,762 131,381 394,144 197,072 98,536 49,268 24,634 12,317 36,952 18,476 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

More profiles

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