λ
Integer Codex

9,467,208

23 × 32 × 131489
Abundant Even Composite

For 9,467,208, the 24 positive divisors have a total of 25,640,550. Removing 9,467,208 leaves 16,173,342, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 131489
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,640,550
Proper Divisor Sum 16,173,342
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9467207 ← → #9467233

Radix Representation

Decimal 9467208
Binary 100100000111010101001000 (24 bits)
Octal 0o44072510
Hexadecimal 0x907548

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 131,489 262,978 394,467 525,956 788,934 1,051,912 1,183,401 1,577,868 2,366,802 3,155,736 4,733,604 9,467,208

Collatz Trajectory (176 steps to reach 1)

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

9,467,208 4,733,604 2,366,802 1,183,401 3,550,204 1,775,102 887,551 2,662,654 1,331,327 3,993,982 1,996,991 5,990,974 2,995,487 8,986,462 4,493,231 13,479,694 6,739,847 20,219,542 10,109,771 30,329,314 15,164,657 45,493,972 22,746,986 11,373,493 34,120,480 17,060,240 8,530,120 4,265,060 2,132,530 1,066,265 3,198,796 1,599,398 799,699 2,399,098 1,199,549 3,598,648 1,799,324 899,662 449,831 1,349,494 674,747 2,024,242 1,012,121 3,036,364 1,518,182 759,091 2,277,274 1,138,637 3,415,912 1,707,956 853,978 426,989 1,280,968 640,484 320,242 160,121 480,364 240,182 120,091 360,274

More profiles

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