398,725

5² × 41 × 389

398,725 is odd and not a perfect square. Its factorization is 5^2 × 41 × 389 and its 12 divisors sum to 507,780.

Prime Factor Structure

Factorization String 5^2 × 41 × 389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 507,780

Proper Divisor Sum 109,055

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #398711 ← → #398729

Radix Representation

Decimal	398725
Binary	1100001010110000101 (19 bits)
Octal	0o1412605
Hexadecimal	0x61585

Divisor Catalog (12)

1 5 25 41 205 389 1,025 1,945 9,725 15,949 79,745 398,725

Collatz Trajectory (267 steps to reach 1)

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

398,725 1,196,176 598,088 299,044 149,522 74,761 224,284 112,142 56,071 168,214 84,107 252,322 126,161 378,484 189,242 94,621 283,864 141,932 70,966 35,483 106,450 53,225 159,676 79,838 39,919 119,758 59,879 179,638 89,819 269,458 134,729 404,188 202,094 101,047 303,142 151,571 454,714 227,357 682,072 341,036 170,518 85,259 255,778 127,889 383,668 191,834 95,917 287,752 143,876 71,938 35,969 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175

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