λ
Harmonic Matrix

3,911,737

941 × 4157
Deficient Odd Composite

3,911,737 has digital root 4. The neighboring primes are 3911711 and 3911741; its proper-divisor sum differs from the starting integer by -3,906,638.

Prime Factor Structure

Factorization String 941 × 4157
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,916,836
Proper Divisor Sum 5,099
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3911711 ← → #3911741

Radix Representation

Decimal 3911737
Binary 1110111011000000111001 (22 bits)
Octal 0o16730071
Hexadecimal 0x3BB039

Divisor Catalog (4)

1 941 4,157 3,911,737

Collatz Trajectory (216 steps to reach 1)

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

3,911,737 11,735,212 5,867,606 2,933,803 8,801,410 4,400,705 13,202,116 6,601,058 3,300,529 9,901,588 4,950,794 2,475,397 7,426,192 3,713,096 1,856,548 928,274 464,137 1,392,412 696,206 348,103 1,044,310 522,155 1,566,466 783,233 2,349,700 1,174,850 587,425 1,762,276 881,138 440,569 1,321,708 660,854 330,427 991,282 495,641 1,486,924 743,462 371,731 1,115,194 557,597 1,672,792 836,396 418,198 209,099 627,298 313,649 940,948 470,474 235,237 705,712 352,856 176,428 88,214 44,107 132,322 66,161 198,484 99,242 49,621 148,864

More profiles

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