λ
Harmonic Matrix

3,738,423

3 × 13 × 95857
Deficient Odd Composite

3,738,423 has digital root 3. The neighboring primes are 3738409 and 3738431; its proper-divisor sum differs from the starting integer by -2,108,798.

Prime Factor Structure

Factorization String 3 × 13 × 95857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,368,048
Proper Divisor Sum 1,629,625
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3738409 ← → #3738431

Radix Representation

Decimal 3738423
Binary 1110010000101100110111 (22 bits)
Octal 0o16205467
Hexadecimal 0x390B37

Divisor Catalog (8)

1 3 13 39 95,857 287,571 1,246,141 3,738,423

Collatz Trajectory (110 steps to reach 1)

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

3,738,423 11,215,270 5,607,635 16,822,906 8,411,453 25,234,360 12,617,180 6,308,590 3,154,295 9,462,886 4,731,443 14,194,330 7,097,165 21,291,496 10,645,748 5,322,874 2,661,437 7,984,312 3,992,156 1,996,078 998,039 2,994,118 1,497,059 4,491,178 2,245,589 6,736,768 3,368,384 1,684,192 842,096 421,048 210,524 105,262 52,631 157,894 78,947 236,842 118,421 355,264 177,632 88,816 44,408 22,204 11,102 5,551 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953

More profiles

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