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Atlas › Integer Profiles › Node 52,592,080

52,592,080

24 × 5 × 29 × 22669
Abundant Even Composite

52,592,080 factors as 2^4 × 5 × 29 × 22669. Its 40 positive divisors give a proper-divisor sum of 73,906,520, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 22669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 126,498,600
Proper Divisor Sum 73,906,520
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #52592077 ← → #52592081

Radix Representation

Decimal 52592080
Binary 11001000100111110111010000 (26 bits)
Octal 0o310476720
Hexadecimal 0x3227DD0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1,160 2,320 22,669 45,338 90,676 113,345 181,352 226,690 362,704 453,380 657,401 906,760 1,314,802 1,813,520 2,629,604 3,287,005 5,259,208 6,574,010 10,518,416 13,148,020 26,296,040 52,592,080

Collatz Trajectory (168 steps to reach 1)

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

52,592,080 26,296,040 13,148,020 6,574,010 3,287,005 9,861,016 4,930,508 2,465,254 1,232,627 3,697,882 1,848,941 5,546,824 2,773,412 1,386,706 693,353 2,080,060 1,040,030 520,015 1,560,046 780,023 2,340,070 1,170,035 3,510,106 1,755,053 5,265,160 2,632,580 1,316,290 658,145 1,974,436 987,218 493,609 1,480,828 740,414 370,207 1,110,622 555,311 1,665,934 832,967 2,498,902 1,249,451 3,748,354 1,874,177 5,622,532 2,811,266 1,405,633 4,216,900 2,108,450 1,054,225 3,162,676 1,581,338 790,669 2,372,008 1,186,004 593,002 296,501 889,504 444,752 222,376 111,188 55,594

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