λ
Integer Codex

2,057,689

2057689
Deficient Odd Prime

For 2,057,689, the 2 positive divisors have a total of 2,057,690. Removing 2,057,689 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2057689
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,057,690
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2057683 ← → #2057701

Radix Representation

Decimal 2057689
Binary 111110110010111011001 (21 bits)
Octal 0o7662731
Hexadecimal 0x1F65D9

Divisor Catalog (2)

Collatz Trajectory (135 steps to reach 1)

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

2,057,689 6,173,068 3,086,534 1,543,267 4,629,802 2,314,901 6,944,704 3,472,352 1,736,176 868,088 434,044 217,022 108,511 325,534 162,767 488,302 244,151 732,454 366,227 1,098,682 549,341 1,648,024 824,012 412,006 206,003 618,010 309,005 927,016 463,508 231,754 115,877 347,632 173,816 86,908 43,454 21,727 65,182 32,591 97,774 48,887 146,662 73,331 219,994 109,997 329,992 164,996 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052

More profiles

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