1,741,248

2⁶ × 3² × 3023

1,741,248 has the prime decomposition 2^6 × 3^2 × 3023. Its 3 distinct prime factors produce 42 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 3023

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 4,992,624

Proper Divisor Sum 3,251,376

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1741241 ← → #1741249

Radix Representation

Decimal	1741248
Binary	110101001000111000000 (21 bits)
Octal	0o6510700
Hexadecimal	0x1A91C0

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3,023 6,046 9,069 12,092 18,138 24,184 27,207 36,276 48,368 54,414 72,552 96,736 108,828 145,104 193,472 217,656 290,208 435,312 580,416 870,624 1,741,248

Collatz Trajectory (44 steps to reach 1)

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

1,741,248 870,624 435,312 217,656 108,828 54,414 27,207 81,622 40,811 122,434 61,217 183,652 91,826 45,913 137,740 68,870 34,435 103,306 51,653 154,960 77,480 38,740 19,370 9,685 29,056 14,528 7,264 3,632 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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