λ
Harmonic Matrix

3,789,425

52 × 41 × 3697
Deficient Odd Composite

3,789,425 has digital root 2. The neighboring primes are 3789413 and 3789427; its proper-divisor sum differs from the starting integer by -2,764,054.

Prime Factor Structure

Factorization String 5^2 × 41 × 3697
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,814,796
Proper Divisor Sum 1,025,371
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3789413 ← → #3789427

Radix Representation

Decimal 3789425
Binary 1110011101001001110001 (22 bits)
Octal 0o16351161
Hexadecimal 0x39D271

Divisor Catalog (12)

1 5 25 41 205 1,025 3,697 18,485 92,425 151,577 757,885 3,789,425

Collatz Trajectory (79 steps to reach 1)

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

3,789,425 11,368,276 5,684,138 2,842,069 8,526,208 4,263,104 2,131,552 1,065,776 532,888 266,444 133,222 66,611 199,834 99,917 299,752 149,876 74,938 37,469 112,408 56,204 28,102 14,051 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

More profiles

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