λ
Harmonic Matrix

3,356,733

3 × 1118911
Deficient Odd Composite

3,356,733 has digital root 3. The neighboring primes are 3356723 and 3356741; its proper-divisor sum differs from the starting integer by -2,237,818.

Prime Factor Structure

Factorization String 3 × 1118911
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,475,648
Proper Divisor Sum 1,118,915
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3356723 ← → #3356741

Radix Representation

Decimal 3356733
Binary 1100110011100000111101 (22 bits)
Octal 0o14634075
Hexadecimal 0x33383D

Divisor Catalog (4)

1 3 1,118,911 3,356,733

Collatz Trajectory (159 steps to reach 1)

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

3,356,733 10,070,200 5,035,100 2,517,550 1,258,775 3,776,326 1,888,163 5,664,490 2,832,245 8,496,736 4,248,368 2,124,184 1,062,092 531,046 265,523 796,570 398,285 1,194,856 597,428 298,714 149,357 448,072 224,036 112,018 56,009 168,028 84,014 42,007 126,022 63,011 189,034 94,517 283,552 141,776 70,888 35,444 17,722 8,861 26,584 13,292 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302

More profiles

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