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2,630,012

22 × 7 × 11 × 8539
Abundant Even Composite

2,630,012 factors as 2^2 × 7 × 11 × 8539. Its 24 positive divisors give a proper-divisor sum of 3,108,868, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 8539
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,738,880
Proper Divisor Sum 3,108,868
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2629973 ← → #2630041

Radix Representation

Decimal 2630012
Binary 1010000010000101111100 (22 bits)
Octal 0o12020574
Hexadecimal 0x28217C

Divisor Catalog (24)

1 2 4 7 11 14 22 28 44 77 154 308 8,539 17,078 34,156 59,773 93,929 119,546 187,858 239,092 375,716 657,503 1,315,006 2,630,012

Collatz Trajectory (143 steps to reach 1)

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

2,630,012 1,315,006 657,503 1,972,510 986,255 2,958,766 1,479,383 4,438,150 2,219,075 6,657,226 3,328,613 9,985,840 4,992,920 2,496,460 1,248,230 624,115 1,872,346 936,173 2,808,520 1,404,260 702,130 351,065 1,053,196 526,598 263,299 789,898 394,949 1,184,848 592,424 296,212 148,106 74,053 222,160 111,080 55,540 27,770 13,885 41,656 20,828 10,414 5,207 15,622 7,811 23,434 11,717 35,152 17,576 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466

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