λ
Sigma Notebook

1,797,759

32 × 199751
Deficient Odd Composite

1,797,759 is odd and not a perfect square. Its factorization is 3^2 × 199751 and its 6 divisors sum to 2,596,776.

Prime Factor Structure

Factorization String 3^2 × 199751
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,596,776
Proper Divisor Sum 799,017
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #1797751 ← → #1797769

Radix Representation

Decimal 1797759
Binary 110110110111001111111 (21 bits)
Octal 0o6667177
Hexadecimal 0x1B6E7F

Divisor Catalog (6)

1 3 9 199,751 599,253 1,797,759

Collatz Trajectory (233 steps to reach 1)

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

1,797,759 5,393,278 2,696,639 8,089,918 4,044,959 12,134,878 6,067,439 18,202,318 9,101,159 27,303,478 13,651,739 40,955,218 20,477,609 61,432,828 30,716,414 15,358,207 46,074,622 23,037,311 69,111,934 34,555,967 103,667,902 51,833,951 155,501,854 77,750,927 233,252,782 116,626,391 349,879,174 174,939,587 524,818,762 262,409,381 787,228,144 393,614,072 196,807,036 98,403,518 49,201,759 147,605,278 73,802,639 221,407,918 110,703,959 332,111,878 166,055,939 498,167,818 249,083,909 747,251,728 373,625,864 186,812,932 93,406,466 46,703,233 140,109,700 70,054,850 35,027,425 105,082,276 52,541,138 26,270,569 78,811,708 39,405,854 19,702,927 59,108,782 29,554,391 88,663,174

More profiles

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