8,001,020

2² × 5 × 400051

8,001,020 factors as 2^2 × 5 × 400051. Its 12 positive divisors give a proper-divisor sum of 8,801,164, so this integer is abundant. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 400051

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,802,184

Proper Divisor Sum 8,801,164

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #8000989 ← → #8001029

Radix Representation

Decimal	8001020
Binary	11110100001010111111100 (23 bits)
Octal	0o36412774
Hexadecimal	0x7A15FC

Divisor Catalog (12)

1 2 4 5 10 20 400,051 800,102 1,600,204 2,000,255 4,000,510 8,001,020

Collatz Trajectory (261 steps to reach 1)

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

8,001,020 4,000,510 2,000,255 6,000,766 3,000,383 9,001,150 4,500,575 13,501,726 6,750,863 20,252,590 10,126,295 30,378,886 15,189,443 45,568,330 22,784,165 68,352,496 34,176,248 17,088,124 8,544,062 4,272,031 12,816,094 6,408,047 19,224,142 9,612,071 28,836,214 14,418,107 43,254,322 21,627,161 64,881,484 32,440,742 16,220,371 48,661,114 24,330,557 72,991,672 36,495,836 18,247,918 9,123,959 27,371,878 13,685,939 41,057,818 20,528,909 61,586,728 30,793,364 15,396,682 7,698,341 23,095,024 11,547,512 5,773,756 2,886,878 1,443,439 4,330,318 2,165,159 6,495,478 3,247,739 9,743,218 4,871,609 14,614,828 7,307,414 3,653,707 10,961,122

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