52,077,239

17 × 127 × 24121

52,077,239 factors as 17 × 127 × 24121. Its 8 positive divisors give a proper-divisor sum of 3,499,849, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 17 × 127 × 24121

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 55,577,088

Proper Divisor Sum 3,499,849

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #52077227 ← → #52077281

Radix Representation

Decimal	52077239
Binary	11000110101010001010110111 (26 bits)
Octal	0o306521267
Hexadecimal	0x31AA2B7

Divisor Catalog (8)

1 17 127 2,159 24,121 410,057 3,063,367 52,077,239

Collatz Trajectory (225 steps to reach 1)

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

52,077,239 156,231,718 78,115,859 234,347,578 117,173,789 351,521,368 175,760,684 87,880,342 43,940,171 131,820,514 65,910,257 197,730,772 98,865,386 49,432,693 148,298,080 74,149,040 37,074,520 18,537,260 9,268,630 4,634,315 13,902,946 6,951,473 20,854,420 10,427,210 5,213,605 15,640,816 7,820,408 3,910,204 1,955,102 977,551 2,932,654 1,466,327 4,398,982 2,199,491 6,598,474 3,299,237 9,897,712 4,948,856 2,474,428 1,237,214 618,607 1,855,822 927,911 2,783,734 1,391,867 4,175,602 2,087,801 6,263,404 3,131,702 1,565,851 4,697,554 2,348,777 7,046,332 3,523,166 1,761,583 5,284,750 2,642,375 7,927,126 3,963,563 11,890,690

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