λ
Prime Ledger

8,329,424

24 × 520589
Deficient Even Composite

8,329,424 has the prime decomposition 2^4 × 520589. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 520589
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 16,138,290
Proper Divisor Sum 7,808,866
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8329423 ← → #8329441

Radix Representation

Decimal 8329424
Binary 11111110001100011010000 (23 bits)
Octal 0o37614320
Hexadecimal 0x7F18D0

Divisor Catalog (10)

1 2 4 8 16 520,589 1,041,178 2,082,356 4,164,712 8,329,424

Collatz Trajectory (106 steps to reach 1)

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

8,329,424 4,164,712 2,082,356 1,041,178 520,589 1,561,768 780,884 390,442 195,221 585,664 292,832 146,416 73,208 36,604 18,302 9,151 27,454 13,727 41,182 20,591 61,774 30,887 92,662 46,331 138,994 69,497 208,492 104,246 52,123 156,370 78,185 234,556 117,278 58,639 175,918 87,959 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468

More profiles

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