1,756,287

3² × 13 × 17 × 883

1,756,287 factors as 3^2 × 13 × 17 × 883. Its 24 positive divisors give a proper-divisor sum of 1,139,697, so this integer is deficient. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 883

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,895,984

Proper Divisor Sum 1,139,697

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1756273 ← → #1756309

Radix Representation

Decimal	1756287
Binary	110101100110001111111 (21 bits)
Octal	0o6546177
Hexadecimal	0x1ACC7F

Divisor Catalog (24)

Collatz Trajectory (220 steps to reach 1)

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

1,756,287 5,268,862 2,634,431 7,903,294 3,951,647 11,854,942 5,927,471 17,782,414 8,891,207 26,673,622 13,336,811 40,010,434 20,005,217 60,015,652 30,007,826 15,003,913 45,011,740 22,505,870 11,252,935 33,758,806 16,879,403 50,638,210 25,319,105 75,957,316 37,978,658 18,989,329 56,967,988 28,483,994 14,241,997 42,725,992 21,362,996 10,681,498 5,340,749 16,022,248 8,011,124 4,005,562 2,002,781 6,008,344 3,004,172 1,502,086 751,043 2,253,130 1,126,565 3,379,696 1,689,848 844,924 422,462 211,231 633,694 316,847 950,542 475,271 1,425,814 712,907 2,138,722 1,069,361 3,208,084 1,604,042 802,021 2,406,064

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