λ
Integer Codex

8,118,249

3 × 31 × 87293
Deficient Odd Composite

For 8,118,249, the 8 positive divisors have a total of 11,173,632. Removing 8,118,249 leaves 3,055,383, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 31 × 87293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,173,632
Proper Divisor Sum 3,055,383
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8118239 ← → #8118251

Radix Representation

Decimal 8118249
Binary 11110111101111111101001 (23 bits)
Octal 0o36757751
Hexadecimal 0x7BDFE9

Divisor Catalog (8)

1 3 31 93 87,293 261,879 2,706,083 8,118,249

Collatz Trajectory (168 steps to reach 1)

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

8,118,249 24,354,748 12,177,374 6,088,687 18,266,062 9,133,031 27,399,094 13,699,547 41,098,642 20,549,321 61,647,964 30,823,982 15,411,991 46,235,974 23,117,987 69,353,962 34,676,981 104,030,944 52,015,472 26,007,736 13,003,868 6,501,934 3,250,967 9,752,902 4,876,451 14,629,354 7,314,677 21,944,032 10,972,016 5,486,008 2,743,004 1,371,502 685,751 2,057,254 1,028,627 3,085,882 1,542,941 4,628,824 2,314,412 1,157,206 578,603 1,735,810 867,905 2,603,716 1,301,858 650,929 1,952,788 976,394 488,197 1,464,592 732,296 366,148 183,074 91,537 274,612 137,306 68,653 205,960 102,980 51,490

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