λ
Integer Codex

9,811,263

3 × 7 × 11 × 42473
Deficient Odd Composite

For 9,811,263, the 16 positive divisors have a total of 16,310,016. Removing 9,811,263 leaves 6,498,753, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 42473
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,310,016
Proper Divisor Sum 6,498,753
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9811231 ← → #9811303

Radix Representation

Decimal 9811263
Binary 100101011011010100111111 (24 bits)
Octal 0o45332477
Hexadecimal 0x95B53F

Divisor Catalog (16)

1 3 7 11 21 33 77 231 42,473 127,419 297,311 467,203 891,933 1,401,609 3,270,421 9,811,263

Collatz Trajectory (119 steps to reach 1)

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

9,811,263 29,433,790 14,716,895 44,150,686 22,075,343 66,226,030 33,113,015 99,339,046 49,669,523 149,008,570 74,504,285 223,512,856 111,756,428 55,878,214 27,939,107 83,817,322 41,908,661 125,725,984 62,862,992 31,431,496 15,715,748 7,857,874 3,928,937 11,786,812 5,893,406 2,946,703 8,840,110 4,420,055 13,260,166 6,630,083 19,890,250 9,945,125 29,835,376 14,917,688 7,458,844 3,729,422 1,864,711 5,594,134 2,797,067 8,391,202 4,195,601 12,586,804 6,293,402 3,146,701 9,440,104 4,720,052 2,360,026 1,180,013 3,540,040 1,770,020 885,010 442,505 1,327,516 663,758 331,879 995,638 497,819 1,493,458 746,729 2,240,188

More profiles

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