λ
Sigma Notebook

8,643,048

23 × 3 × 31 × 11617
Abundant Even Composite

8,643,048 is even and not a perfect square. Its factorization is 2^3 × 3 × 31 × 11617 and its 32 divisors sum to 22,306,560.

Prime Factor Structure

Factorization String 2^3 × 3 × 31 × 11617
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,306,560
Proper Divisor Sum 13,663,512
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8643023 ← → #8643053

Radix Representation

Decimal 8643048
Binary 100000111110000111101000 (24 bits)
Octal 0o40760750
Hexadecimal 0x83E1E8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 11,617 23,234 34,851 46,468 69,702 92,936 139,404 278,808 360,127 720,254 1,080,381 1,440,508 2,160,762 2,881,016 4,321,524 8,643,048

Collatz Trajectory (168 steps to reach 1)

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

8,643,048 4,321,524 2,160,762 1,080,381 3,241,144 1,620,572 810,286 405,143 1,215,430 607,715 1,823,146 911,573 2,734,720 1,367,360 683,680 341,840 170,920 85,460 42,730 21,365 64,096 32,048 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152

More profiles

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