1,756,017

3² × 59 × 3307

1,756,017 factors as 3^2 × 59 × 3307. Its 12 positive divisors give a proper-divisor sum of 824,223, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 3^2 × 59 × 3307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,580,240

Proper Divisor Sum 824,223

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1756009 ← → #1756021

Radix Representation

Decimal	1756017
Binary	110101100101101110001 (21 bits)
Octal	0o6545561
Hexadecimal	0x1ACB71

Divisor Catalog (12)

1 3 9 59 177 531 3,307 9,921 29,763 195,113 585,339 1,756,017

Collatz Trajectory (127 steps to reach 1)

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

1,756,017 5,268,052 2,634,026 1,317,013 3,951,040 1,975,520 987,760 493,880 246,940 123,470 61,735 185,206 92,603 277,810 138,905 416,716 208,358 104,179 312,538 156,269 468,808 234,404 117,202 58,601 175,804 87,902 43,951 131,854 65,927 197,782 98,891 296,674 148,337 445,012 222,506 111,253 333,760 166,880 83,440 41,720 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141

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