2,048,325

3 × 5² × 31 × 881

2,048,325 has the prime decomposition 3 × 5^2 × 31 × 881. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 31 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,499,776

Proper Divisor Sum 1,451,451

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2048273 ← → #2048327

Radix Representation

Decimal	2048325
Binary	111110100000101000101 (21 bits)
Octal	0o7640505
Hexadecimal	0x1F4145

Divisor Catalog (24)

1 3 5 15 25 31 75 93 155 465 775 881 2,325 2,643 4,405 13,215 22,025 27,311 66,075 81,933 136,555 409,665 682,775 2,048,325

Collatz Trajectory (153 steps to reach 1)

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

2,048,325 6,144,976 3,072,488 1,536,244 768,122 384,061 1,152,184 576,092 288,046 144,023 432,070 216,035 648,106 324,053 972,160 486,080 243,040 121,520 60,760 30,380 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121 364

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