6,396,024

2³ × 3 × 23 × 11587

6,396,024 has the prime decomposition 2^3 × 3 × 23 × 11587. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 11587

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,686,720

Proper Divisor Sum 10,290,696

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6395981 ← → #6396053

Radix Representation

Decimal	6396024
Binary	11000011001100001111000 (23 bits)
Octal	0o30314170
Hexadecimal	0x619878

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 11,587 23,174 34,761 46,348 69,522 92,696 139,044 266,501 278,088 533,002 799,503 1,066,004 1,599,006 2,132,008 3,198,012 6,396,024

Collatz Trajectory (209 steps to reach 1)

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

6,396,024 3,198,012 1,599,006 799,503 2,398,510 1,199,255 3,597,766 1,798,883 5,396,650 2,698,325 8,094,976 4,047,488 2,023,744 1,011,872 505,936 252,968 126,484 63,242 31,621 94,864 47,432 23,716 11,858 5,929 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767

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