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Atlas › Integer Profiles › Node 1,660,122

1,660,122

2 × 33 × 71 × 433
Abundant Even Composite

1,660,122 factors as 2 × 3^3 × 71 × 433. Its 32 positive divisors give a proper-divisor sum of 2,089,638, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 71 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,749,760
Proper Divisor Sum 2,089,638
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1660121 ← → #1660133

Radix Representation

Decimal 1660122
Binary 110010101010011011010 (21 bits)
Octal 0o6252332
Hexadecimal 0x1954DA

Divisor Catalog (32)

1 2 3 6 9 18 27 54 71 142 213 426 433 639 866 1,278 1,299 1,917 2,598 3,834 3,897 7,794 11,691 23,382 30,743 61,486 92,229 184,458 276,687 553,374 830,061 1,660,122

Collatz Trajectory (114 steps to reach 1)

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

1,660,122 830,061 2,490,184 1,245,092 622,546 311,273 933,820 466,910 233,455 700,366 350,183 1,050,550 525,275 1,575,826 787,913 2,363,740 1,181,870 590,935 1,772,806 886,403 2,659,210 1,329,605 3,988,816 1,994,408 997,204 498,602 249,301 747,904 373,952 186,976 93,488 46,744 23,372 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757

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