λ
Integer Codex

9,308,943

32 × 7 × 147761
Deficient Odd Composite

For 9,308,943, the 12 positive divisors have a total of 15,367,248. Removing 9,308,943 leaves 6,058,305, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 147761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,367,248
Proper Divisor Sum 6,058,305
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9308939 ← → #9308947

Radix Representation

Decimal 9308943
Binary 100011100000101100001111 (24 bits)
Octal 0o43405417
Hexadecimal 0x8E0B0F

Divisor Catalog (12)

1 3 7 9 21 63 147,761 443,283 1,034,327 1,329,849 3,102,981 9,308,943

Collatz Trajectory (75 steps to reach 1)

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

9,308,943 27,926,830 13,963,415 41,890,246 20,945,123 62,835,370 31,417,685 94,253,056 47,126,528 23,563,264 11,781,632 5,890,816 2,945,408 1,472,704 736,352 368,176 184,088 92,044 46,022 23,011 69,034 34,517 103,552 51,776 25,888 12,944 6,472 3,236 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46

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