λ
Harmonic Matrix

3,329,642

2 × 1664821
Deficient Even Composite

3,329,642 has digital root 2. The neighboring primes are 3329633 and 3329653; its proper-divisor sum differs from the starting integer by -1,664,818.

Prime Factor Structure

Factorization String 2 × 1664821
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,994,466
Proper Divisor Sum 1,664,824
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3329633 ← → #3329653

Radix Representation

Decimal 3329642
Binary 1100101100111001101010 (22 bits)
Octal 0o14547152
Hexadecimal 0x32CE6A

Divisor Catalog (4)

1 2 1,664,821 3,329,642

Collatz Trajectory (177 steps to reach 1)

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

3,329,642 1,664,821 4,994,464 2,497,232 1,248,616 624,308 312,154 156,077 468,232 234,116 117,058 58,529 175,588 87,794 43,897 131,692 65,846 32,923 98,770 49,385 148,156 74,078 37,039 111,118 55,559 166,678 83,339 250,018 125,009 375,028 187,514 93,757 281,272 140,636 70,318 35,159 105,478 52,739 158,218 79,109 237,328 118,664 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587

More profiles

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