λ
Prime Ledger

8,326,928

24 × 520433
Deficient Even Composite

8,326,928 has the prime decomposition 2^4 × 520433. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 520433
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 16,133,454
Proper Divisor Sum 7,806,526
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8326919 ← → #8326931

Radix Representation

Decimal 8326928
Binary 11111110000111100010000 (23 bits)
Octal 0o37607420
Hexadecimal 0x7F0F10

Divisor Catalog (10)

1 2 4 8 16 520,433 1,040,866 2,081,732 4,163,464 8,326,928

Collatz Trajectory (49 steps to reach 1)

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

8,326,928 4,163,464 2,081,732 1,040,866 520,433 1,561,300 780,650 390,325 1,170,976 585,488 292,744 146,372 73,186 36,593 109,780 54,890 27,445 82,336 41,168 20,584 10,292 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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