λ
Sigma Notebook

1,680,943

11 × 17 × 89 × 101
Deficient Odd Composite

1,680,943 is odd and not a perfect square. Its factorization is 11 × 17 × 89 × 101 and its 16 divisors sum to 1,982,880.

Prime Factor Structure

Factorization String 11 × 17 × 89 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,982,880
Proper Divisor Sum 301,937
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1680929 ← → #1680961

Radix Representation

Decimal 1680943
Binary 110011010011000101111 (21 bits)
Octal 0o6323057
Hexadecimal 0x19A62F

Divisor Catalog (16)

1 11 17 89 101 187 979 1,111 1,513 1,717 8,989 16,643 18,887 98,879 152,813 1,680,943

Collatz Trajectory (207 steps to reach 1)

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

1,680,943 5,042,830 2,521,415 7,564,246 3,782,123 11,346,370 5,673,185 17,019,556 8,509,778 4,254,889 12,764,668 6,382,334 3,191,167 9,573,502 4,786,751 14,360,254 7,180,127 21,540,382 10,770,191 32,310,574 16,155,287 48,465,862 24,232,931 72,698,794 36,349,397 109,048,192 54,524,096 27,262,048 13,631,024 6,815,512 3,407,756 1,703,878 851,939 2,555,818 1,277,909 3,833,728 1,916,864 958,432 479,216 239,608 119,804 59,902 29,951 89,854 44,927 134,782 67,391 202,174 101,087 303,262 151,631 454,894 227,447 682,342 341,171 1,023,514 511,757 1,535,272 767,636 383,818

More profiles

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