1,761,424

2⁴ × 7 × 15727

1,761,424 is even and not a perfect square. Its factorization is 2^4 × 7 × 15727 and its 20 divisors sum to 3,900,544.

Prime Factor Structure

Factorization String 2^4 × 7 × 15727

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,900,544

Proper Divisor Sum 2,139,120

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1761413 ← → #1761437

Radix Representation

Decimal	1761424
Binary	110101110000010010000 (21 bits)
Octal	0o6560220
Hexadecimal	0x1AE090

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 15,727 31,454 62,908 110,089 125,816 220,178 251,632 440,356 880,712 1,761,424

Collatz Trajectory (158 steps to reach 1)

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

1,761,424 880,712 440,356 220,178 110,089 330,268 165,134 82,567 247,702 123,851 371,554 185,777 557,332 278,666 139,333 418,000 209,000 104,500 52,250 26,125 78,376 39,188 19,594 9,797 29,392 14,696 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322

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