λ
Harmonic Matrix

3,778,028

22 × 311 × 3037
Deficient Even Composite

3,778,028 has digital root 8. The neighboring primes are 3778007 and 3778039; its proper-divisor sum differs from the starting integer by -921,064.

Prime Factor Structure

Factorization String 2^2 × 311 × 3037
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,634,992
Proper Divisor Sum 2,856,964
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3778007 ← → #3778039

Radix Representation

Decimal 3778028
Binary 1110011010010111101100 (22 bits)
Octal 0o16322754
Hexadecimal 0x39A5EC

Divisor Catalog (12)

1 2 4 311 622 1,244 3,037 6,074 12,148 944,507 1,889,014 3,778,028

Collatz Trajectory (154 steps to reach 1)

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

3,778,028 1,889,014 944,507 2,833,522 1,416,761 4,250,284 2,125,142 1,062,571 3,187,714 1,593,857 4,781,572 2,390,786 1,195,393 3,586,180 1,793,090 896,545 2,689,636 1,344,818 672,409 2,017,228 1,008,614 504,307 1,512,922 756,461 2,269,384 1,134,692 567,346 283,673 851,020 425,510 212,755 638,266 319,133 957,400 478,700 239,350 119,675 359,026 179,513 538,540 269,270 134,635 403,906 201,953 605,860 302,930 151,465 454,396 227,198 113,599 340,798 170,399 511,198 255,599 766,798 383,399 1,150,198 575,099 1,725,298 862,649

More profiles

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