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Atlas › Integer Profiles › Node 1,667,934

1,667,934

2 × 32 × 19 × 4877
Abundant Even Composite

1,667,934 factors as 2 × 3^2 × 19 × 4877. Its 24 positive divisors give a proper-divisor sum of 2,136,906, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 4877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,804,840
Proper Divisor Sum 2,136,906
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1667933 ← → #1667947

Radix Representation

Decimal 1667934
Binary 110010111001101011110 (21 bits)
Octal 0o6271536
Hexadecimal 0x19735E

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 4,877 9,754 14,631 29,262 43,893 87,786 92,663 185,326 277,989 555,978 833,967 1,667,934

Collatz Trajectory (176 steps to reach 1)

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

1,667,934 833,967 2,501,902 1,250,951 3,752,854 1,876,427 5,629,282 2,814,641 8,443,924 4,221,962 2,110,981 6,332,944 3,166,472 1,583,236 791,618 395,809 1,187,428 593,714 296,857 890,572 445,286 222,643 667,930 333,965 1,001,896 500,948 250,474 125,237 375,712 187,856 93,928 46,964 23,482 11,741 35,224 17,612 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768

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