λ
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1,784,864

25 × 172 × 193
Abundant Even Composite

1,784,864 factors as 2^5 × 17^2 × 193. Its 36 positive divisors give a proper-divisor sum of 1,967,290, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^5 × 17^2 × 193
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,752,154
Proper Divisor Sum 1,967,290
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1784833 ← → #1784873

Radix Representation

Decimal 1784864
Binary 110110011110000100000 (21 bits)
Octal 0o6636040
Hexadecimal 0x1B3C20

Divisor Catalog (36)

1 2 4 8 16 17 32 34 68 136 193 272 289 386 544 578 772 1,156 1,544 2,312 3,088 3,281 4,624 6,176 6,562 9,248 13,124 26,248 52,496 55,777 104,992 111,554 223,108 446,216 892,432 1,784,864

Collatz Trajectory (158 steps to reach 1)

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

1,784,864 892,432 446,216 223,108 111,554 55,777 167,332 83,666 41,833 125,500 62,750 31,375 94,126 47,063 141,190 70,595 211,786 105,893 317,680 158,840 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424 4,712 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322

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