1,752,338

2 × 7² × 17881

1,752,338 factors as 2 × 7^2 × 17881. Its 12 positive divisors give a proper-divisor sum of 1,305,484, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 17881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,057,822

Proper Divisor Sum 1,305,484

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1752323 ← → #1752341

Radix Representation

Decimal	1752338
Binary	110101011110100010010 (21 bits)
Octal	0o6536422
Hexadecimal	0x1ABD12

Divisor Catalog (12)

1 2 7 14 49 98 17,881 35,762 125,167 250,334 876,169 1,752,338

Collatz Trajectory (150 steps to reach 1)

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

1,752,338 876,169 2,628,508 1,314,254 657,127 1,971,382 985,691 2,957,074 1,478,537 4,435,612 2,217,806 1,108,903 3,326,710 1,663,355 4,990,066 2,495,033 7,485,100 3,742,550 1,871,275 5,613,826 2,806,913 8,420,740 4,210,370 2,105,185 6,315,556 3,157,778 1,578,889 4,736,668 2,368,334 1,184,167 3,552,502 1,776,251 5,328,754 2,664,377 7,993,132 3,996,566 1,998,283 5,994,850 2,997,425 8,992,276 4,496,138 2,248,069 6,744,208 3,372,104 1,686,052 843,026 421,513 1,264,540 632,270 316,135 948,406 474,203 1,422,610 711,305 2,133,916 1,066,958 533,479 1,600,438 800,219 2,400,658

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