8,010,884

2² × 7 × 286103

8,010,884 factors as 2^2 × 7 × 286103. Its 12 positive divisors give a proper-divisor sum of 8,010,940, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 286103

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,021,824

Proper Divisor Sum 8,010,940

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8010883 ← → #8010887

Radix Representation

Decimal	8010884
Binary	11110100011110010000100 (23 bits)
Octal	0o36436204
Hexadecimal	0x7A3C84

Divisor Catalog (12)

1 2 4 7 14 28 286,103 572,206 1,144,412 2,002,721 4,005,442 8,010,884

Collatz Trajectory (116 steps to reach 1)

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

8,010,884 4,005,442 2,002,721 6,008,164 3,004,082 1,502,041 4,506,124 2,253,062 1,126,531 3,379,594 1,689,797 5,069,392 2,534,696 1,267,348 633,674 316,837 950,512 475,256 237,628 118,814 59,407 178,222 89,111 267,334 133,667 401,002 200,501 601,504 300,752 150,376 75,188 37,594 18,797 56,392 28,196 14,098 7,049 21,148 10,574 5,287 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471

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