6,329,415

3 × 5 × 509 × 829

6,329,415 has the prime decomposition 3 × 5 × 509 × 829. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 509 × 829

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,159,200

Proper Divisor Sum 3,829,785

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6329387 ← → #6329417

Radix Representation

Decimal	6329415
Binary	11000001001010001000111 (23 bits)
Octal	0o30112107
Hexadecimal	0x609447

Divisor Catalog (16)

1 3 5 15 509 829 1,527 2,487 2,545 4,145 7,635 12,435 421,961 1,265,883 2,109,805 6,329,415

Collatz Trajectory (178 steps to reach 1)

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

6,329,415 18,988,246 9,494,123 28,482,370 14,241,185 42,723,556 21,361,778 10,680,889 32,042,668 16,021,334 8,010,667 24,032,002 12,016,001 36,048,004 18,024,002 9,012,001 27,036,004 13,518,002 6,759,001 20,277,004 10,138,502 5,069,251 15,207,754 7,603,877 22,811,632 11,405,816 5,702,908 2,851,454 1,425,727 4,277,182 2,138,591 6,415,774 3,207,887 9,623,662 4,811,831 14,435,494 7,217,747 21,653,242 10,826,621 32,479,864 16,239,932 8,119,966 4,059,983 12,179,950 6,089,975 18,269,926 9,134,963 27,404,890 13,702,445 41,107,336 20,553,668 10,276,834 5,138,417 15,415,252 7,707,626 3,853,813 11,561,440 5,780,720 2,890,360 1,445,180

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