λ
Harmonic Matrix

3,788,222

2 × 61 × 31051
Deficient Even Composite

3,788,222 has digital root 5. The neighboring primes are 3788221 and 3788227; its proper-divisor sum differs from the starting integer by -1,800,772.

Prime Factor Structure

Factorization String 2 × 61 × 31051
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,775,672
Proper Divisor Sum 1,987,450
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3788221 ← → #3788227

Radix Representation

Decimal 3788222
Binary 1110011100110110111110 (22 bits)
Octal 0o16346676
Hexadecimal 0x39CDBE

Divisor Catalog (8)

1 2 61 122 31,051 62,102 1,894,111 3,788,222

Collatz Trajectory (102 steps to reach 1)

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

3,788,222 1,894,111 5,682,334 2,841,167 8,523,502 4,261,751 12,785,254 6,392,627 19,177,882 9,588,941 28,766,824 14,383,412 7,191,706 3,595,853 10,787,560 5,393,780 2,696,890 1,348,445 4,045,336 2,022,668 1,011,334 505,667 1,517,002 758,501 2,275,504 1,137,752 568,876 284,438 142,219 426,658 213,329 639,988 319,994 159,997 479,992 239,996 119,998 59,999 179,998 89,999 269,998 134,999 404,998 202,499 607,498 303,749 911,248 455,624 227,812 113,906 56,953 170,860 85,430 42,715 128,146 64,073 192,220 96,110 48,055 144,166

More profiles

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