λ
Integer Codex

9,343,764

22 × 32 × 277 × 937
Abundant Even Composite

For 9,343,764, the 36 positive divisors have a total of 23,729,524. Removing 9,343,764 leaves 14,385,760, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 277 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 23,729,524
Proper Divisor Sum 14,385,760
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9343759 ← → #9343783

Radix Representation

Decimal 9343764
Binary 100011101001001100010100 (24 bits)
Octal 0o43511424
Hexadecimal 0x8E9314

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 277 554 831 937 1,108 1,662 1,874 2,493 2,811 3,324 3,748 4,986 5,622 8,433 9,972 11,244 16,866 33,732 259,549 519,098 778,647 1,038,196 1,557,294 2,335,941 3,114,588 4,671,882 9,343,764

Collatz Trajectory (75 steps to reach 1)

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

9,343,764 4,671,882 2,335,941 7,007,824 3,503,912 1,751,956 875,978 437,989 1,313,968 656,984 328,492 164,246 82,123 246,370 123,185 369,556 184,778 92,389 277,168 138,584 69,292 34,646 17,323 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46

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