1,009,728

2⁶ × 3² × 1753

1,009,728 is even and not a perfect square. Its factorization is 2^6 × 3^2 × 1753 and its 42 divisors sum to 2,895,854.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 1753

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 2,895,854

Proper Divisor Sum 1,886,126

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1009727 ← → #1009741

Radix Representation

Decimal	1009728
Binary	11110110100001000000 (20 bits)
Octal	0o3664100
Hexadecimal	0xF6840

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1,753 3,506 5,259 7,012 10,518 14,024 15,777 21,036 28,048 31,554 42,072 56,096 63,108 84,144 112,192 126,216 168,288 252,432 336,576 504,864 1,009,728

Collatz Trajectory (108 steps to reach 1)

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

1,009,728 504,864 252,432 126,216 63,108 31,554 15,777 47,332 23,666 11,833 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079

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