λ
Integer Codex

1,665,631

11 × 53 × 2857
Deficient Odd Composite

For 1,665,631, the 8 positive divisors have a total of 1,851,984. Removing 1,665,631 leaves 186,353, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 53 × 2857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,851,984
Proper Divisor Sum 186,353
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1665623 ← → #1665647

Radix Representation

Decimal 1665631
Binary 110010110101001011111 (21 bits)
Octal 0o6265137
Hexadecimal 0x196A5F

Divisor Catalog (8)

1 11 53 583 2,857 31,427 151,421 1,665,631

Collatz Trajectory (176 steps to reach 1)

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

1,665,631 4,996,894 2,498,447 7,495,342 3,747,671 11,243,014 5,621,507 16,864,522 8,432,261 25,296,784 12,648,392 6,324,196 3,162,098 1,581,049 4,743,148 2,371,574 1,185,787 3,557,362 1,778,681 5,336,044 2,668,022 1,334,011 4,002,034 2,001,017 6,003,052 3,001,526 1,500,763 4,502,290 2,251,145 6,753,436 3,376,718 1,688,359 5,065,078 2,532,539 7,597,618 3,798,809 11,396,428 5,698,214 2,849,107 8,547,322 4,273,661 12,820,984 6,410,492 3,205,246 1,602,623 4,807,870 2,403,935 7,211,806 3,605,903 10,817,710 5,408,855 16,226,566 8,113,283 24,339,850 12,169,925 36,509,776 18,254,888 9,127,444 4,563,722 2,281,861

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