λ
Harmonic Matrix

3,946,214

2 × 47 × 41981
Deficient Even Composite

3,946,214 has digital root 2. The neighboring primes are 3946213 and 3946219; its proper-divisor sum differs from the starting integer by -1,847,020.

Prime Factor Structure

Factorization String 2 × 47 × 41981
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,045,408
Proper Divisor Sum 2,099,194
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3946213 ← → #3946219

Radix Representation

Decimal 3946214
Binary 1111000011011011100110 (22 bits)
Octal 0o17033346
Hexadecimal 0x3C36E6

Divisor Catalog (8)

1 2 47 94 41,981 83,962 1,973,107 3,946,214

Collatz Trajectory (185 steps to reach 1)

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

3,946,214 1,973,107 5,919,322 2,959,661 8,878,984 4,439,492 2,219,746 1,109,873 3,329,620 1,664,810 832,405 2,497,216 1,248,608 624,304 312,152 156,076 78,038 39,019 117,058 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

More profiles

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