λ
Harmonic Matrix

3,781,706

2 × 23 × 229 × 359
Deficient Even Composite

3,781,706 has digital root 5. The neighboring primes are 3781691 and 3781711; its proper-divisor sum differs from the starting integer by -1,601,812.

Prime Factor Structure

Factorization String 2 × 23 × 229 × 359
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,961,600
Proper Divisor Sum 2,179,894
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3781691 ← → #3781711

Radix Representation

Decimal 3781706
Binary 1110011011010001001010 (22 bits)
Octal 0o16332112
Hexadecimal 0x39B44A

Divisor Catalog (16)

1 2 23 46 229 359 458 718 5,267 8,257 10,534 16,514 82,211 164,422 1,890,853 3,781,706

Collatz Trajectory (110 steps to reach 1)

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

3,781,706 1,890,853 5,672,560 2,836,280 1,418,140 709,070 354,535 1,063,606 531,803 1,595,410 797,705 2,393,116 1,196,558 598,279 1,794,838 897,419 2,692,258 1,346,129 4,038,388 2,019,194 1,009,597 3,028,792 1,514,396 757,198 378,599 1,135,798 567,899 1,703,698 851,849 2,555,548 1,277,774 638,887 1,916,662 958,331 2,874,994 1,437,497 4,312,492 2,156,246 1,078,123 3,234,370 1,617,185 4,851,556 2,425,778 1,212,889 3,638,668 1,819,334 909,667 2,729,002 1,364,501 4,093,504 2,046,752 1,023,376 511,688 255,844 127,922 63,961 191,884 95,942 47,971 143,914

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