λ
Harmonic Matrix

3,168,621

32 × 352069
Deficient Odd Composite

3,168,621 has digital root 9. The neighboring primes are 3168619 and 3168629; its proper-divisor sum differs from the starting integer by -1,760,332.

Prime Factor Structure

Factorization String 3^2 × 352069
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,576,910
Proper Divisor Sum 1,408,289
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3168619 ← → #3168629

Radix Representation

Decimal 3168621
Binary 1100000101100101101101 (22 bits)
Octal 0o14054555
Hexadecimal 0x30596D

Divisor Catalog (6)

1 3 9 352,069 1,056,207 3,168,621

Collatz Trajectory (102 steps to reach 1)

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

3,168,621 9,505,864 4,752,932 2,376,466 1,188,233 3,564,700 1,782,350 891,175 2,673,526 1,336,763 4,010,290 2,005,145 6,015,436 3,007,718 1,503,859 4,511,578 2,255,789 6,767,368 3,383,684 1,691,842 845,921 2,537,764 1,268,882 634,441 1,903,324 951,662 475,831 1,427,494 713,747 2,141,242 1,070,621 3,211,864 1,605,932 802,966 401,483 1,204,450 602,225 1,806,676 903,338 451,669 1,355,008 677,504 338,752 169,376 84,688 42,344 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352

More profiles

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