7,053,020

2² × 5 × 13 × 27127

7,053,020 factors as 2^2 × 5 × 13 × 27127. Its 24 positive divisors give a proper-divisor sum of 8,898,244, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 27127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,951,264

Proper Divisor Sum 8,898,244

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #7053001 ← → #7053029

Radix Representation

Decimal	7053020
Binary	11010111001111011011100 (23 bits)
Octal	0o32717334
Hexadecimal	0x6B9EDC

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

7,053,020 3,526,510 1,763,255 5,289,766 2,644,883 7,934,650 3,967,325 11,901,976 5,950,988 2,975,494 1,487,747 4,463,242 2,231,621 6,694,864 3,347,432 1,673,716 836,858 418,429 1,255,288 627,644 313,822 156,911 470,734 235,367 706,102 353,051 1,059,154 529,577 1,588,732 794,366 397,183 1,191,550 595,775 1,787,326 893,663 2,680,990 1,340,495 4,021,486 2,010,743 6,032,230 3,016,115 9,048,346 4,524,173 13,572,520 6,786,260 3,393,130 1,696,565 5,089,696 2,544,848 1,272,424 636,212 318,106 159,053 477,160 238,580 119,290 59,645 178,936 89,468 44,734

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