λ
Integer Codex

1,027,711

79 × 13009
Deficient Odd Composite

For 1,027,711, the 4 positive divisors have a total of 1,040,800. Removing 1,027,711 leaves 13,089, which gives the deficient classification.

Prime Factor Structure

Factorization String 79 × 13009
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,040,800
Proper Divisor Sum 13,089
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1027703 ← → #1027717

Radix Representation

Decimal 1027711
Binary 11111010111001111111 (20 bits)
Octal 0o3727177
Hexadecimal 0xFAE7F

Divisor Catalog (4)

1 79 13,009 1,027,711

Collatz Trajectory (333 steps to reach 1)

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

1,027,711 3,083,134 1,541,567 4,624,702 2,312,351 6,937,054 3,468,527 10,405,582 5,202,791 15,608,374 7,804,187 23,412,562 11,706,281 35,118,844 17,559,422 8,779,711 26,339,134 13,169,567 39,508,702 19,754,351 59,263,054 29,631,527 88,894,582 44,447,291 133,341,874 66,670,937 200,012,812 100,006,406 50,003,203 150,009,610 75,004,805 225,014,416 112,507,208 56,253,604 28,126,802 14,063,401 42,190,204 21,095,102 10,547,551 31,642,654 15,821,327 47,463,982 23,731,991 71,195,974 35,597,987 106,793,962 53,396,981 160,190,944 80,095,472 40,047,736 20,023,868 10,011,934 5,005,967 15,017,902 7,508,951 22,526,854 11,263,427 33,790,282 16,895,141 50,685,424

More profiles

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