8,553,828

2² × 3 × 712819

8,553,828 factors as 2^2 × 3 × 712819. Its 12 positive divisors give a proper-divisor sum of 11,405,132, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 712819

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,958,960

Proper Divisor Sum 11,405,132

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8553827 ← → #8553833

Radix Representation

Decimal	8553828
Binary	100000101000010101100100 (24 bits)
Octal	0o40502544
Hexadecimal	0x828564

Divisor Catalog (12)

1 2 3 4 6 12 712,819 1,425,638 2,138,457 2,851,276 4,276,914 8,553,828

Collatz Trajectory (80 steps to reach 1)

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

8,553,828 4,276,914 2,138,457 6,415,372 3,207,686 1,603,843 4,811,530 2,405,765 7,217,296 3,608,648 1,804,324 902,162 451,081 1,353,244 676,622 338,311 1,014,934 507,467 1,522,402 761,201 2,283,604 1,141,802 570,901 1,712,704 856,352 428,176 214,088 107,044 53,522 26,761 80,284 40,142 20,071 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019 12,058 6,029 18,088 9,044

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