λ
Harmonic Matrix

3,936,274

2 × 1968137
Deficient Even Composite

3,936,274 has digital root 7. The neighboring primes are 3936271 and 3936293; its proper-divisor sum differs from the starting integer by -1,968,134.

Prime Factor Structure

Factorization String 2 × 1968137
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,904,414
Proper Divisor Sum 1,968,140
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3936271 ← → #3936293

Radix Representation

Decimal 3936274
Binary 1111000001000000010010 (22 bits)
Octal 0o17010022
Hexadecimal 0x3C1012

Divisor Catalog (4)

1 2 1,968,137 3,936,274

Collatz Trajectory (141 steps to reach 1)

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

3,936,274 1,968,137 5,904,412 2,952,206 1,476,103 4,428,310 2,214,155 6,642,466 3,321,233 9,963,700 4,981,850 2,490,925 7,472,776 3,736,388 1,868,194 934,097 2,802,292 1,401,146 700,573 2,101,720 1,050,860 525,430 262,715 788,146 394,073 1,182,220 591,110 295,555 886,666 443,333 1,330,000 665,000 332,500 166,250 83,125 249,376 124,688 62,344 31,172 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700

More profiles

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