λ
Integer Codex

1,582,811

1582811
Deficient Odd Prime

For 1,582,811, the 2 positive divisors have a total of 1,582,812. Removing 1,582,811 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1582811
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,582,812
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1582799 ← → #1582813

Radix Representation

Decimal 1582811
Binary 110000010011011011011 (21 bits)
Octal 0o6023333
Hexadecimal 0x1826DB

Divisor Catalog (2)

1 1,582,811

Collatz Trajectory (163 steps to reach 1)

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

1,582,811 4,748,434 2,374,217 7,122,652 3,561,326 1,780,663 5,341,990 2,670,995 8,012,986 4,006,493 12,019,480 6,009,740 3,004,870 1,502,435 4,507,306 2,253,653 6,760,960 3,380,480 1,690,240 845,120 422,560 211,280 105,640 52,820 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47

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