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Atlas › Integer Profiles › Node 1,669,944

1,669,944

23 × 3 × 17 × 4093
Abundant Even Composite

1,669,944 factors as 2^3 × 3 × 17 × 4093. Its 32 positive divisors give a proper-divisor sum of 2,751,576, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 4093
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,421,520
Proper Divisor Sum 2,751,576
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1669937 ← → #1669951

Radix Representation

Decimal 1669944
Binary 110010111101100111000 (21 bits)
Octal 0o6275470
Hexadecimal 0x197B38

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 4,093 8,186 12,279 16,372 24,558 32,744 49,116 69,581 98,232 139,162 208,743 278,324 417,486 556,648 834,972 1,669,944

Collatz Trajectory (163 steps to reach 1)

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

1,669,944 834,972 417,486 208,743 626,230 313,115 939,346 469,673 1,409,020 704,510 352,255 1,056,766 528,383 1,585,150 792,575 2,377,726 1,188,863 3,566,590 1,783,295 5,349,886 2,674,943 8,024,830 4,012,415 12,037,246 6,018,623 18,055,870 9,027,935 27,083,806 13,541,903 40,625,710 20,312,855 60,938,566 30,469,283 91,407,850 45,703,925 137,111,776 68,555,888 34,277,944 17,138,972 8,569,486 4,284,743 12,854,230 6,427,115 19,281,346 9,640,673 28,922,020 14,461,010 7,230,505 21,691,516 10,845,758 5,422,879 16,268,638 8,134,319 24,402,958 12,201,479 36,604,438 18,302,219 54,906,658 27,453,329 82,359,988

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