λ
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Atlas › Integer Profiles › Node 52,801,360

52,801,360

24 × 5 × 67 × 9851
Abundant Even Composite

52,801,360 factors as 2^4 × 5 × 67 × 9851. Its 40 positive divisors give a proper-divisor sum of 71,806,736, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 67 × 9851
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 124,608,096
Proper Divisor Sum 71,806,736
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #52801349 ← → #52801367

Radix Representation

Decimal 52801360
Binary 11001001011010111101010000 (26 bits)
Octal 0o311327520
Hexadecimal 0x325AF50

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1,072 1,340 2,680 5,360 9,851 19,702 39,404 49,255 78,808 98,510 157,616 197,020 394,040 660,017 788,080 1,320,034 2,640,068 3,300,085 5,280,136 6,600,170 10,560,272 13,200,340 26,400,680 52,801,360

Collatz Trajectory (137 steps to reach 1)

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

52,801,360 26,400,680 13,200,340 6,600,170 3,300,085 9,900,256 4,950,128 2,475,064 1,237,532 618,766 309,383 928,150 464,075 1,392,226 696,113 2,088,340 1,044,170 522,085 1,566,256 783,128 391,564 195,782 97,891 293,674 146,837 440,512 220,256 110,128 55,064 27,532 13,766 6,883 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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