8,559,984

2⁴ × 3 × 178333

8,559,984 factors as 2^4 × 3 × 178333. Its 20 positive divisors give a proper-divisor sum of 13,553,432, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 178333

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 22,113,416

Proper Divisor Sum 13,553,432

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #8559983 ← → #8559989

Radix Representation

Decimal	8559984
Binary	100000101001110101110000 (24 bits)
Octal	0o40516560
Hexadecimal	0x829D70

Divisor Catalog (20)

Collatz Trajectory (124 steps to reach 1)

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

8,559,984 4,279,992 2,139,996 1,069,998 534,999 1,604,998 802,499 2,407,498 1,203,749 3,611,248 1,805,624 902,812 451,406 225,703 677,110 338,555 1,015,666 507,833 1,523,500 761,750 380,875 1,142,626 571,313 1,713,940 856,970 428,485 1,285,456 642,728 321,364 160,682 80,341 241,024 120,512 60,256 30,128 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058

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