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Ratio Atlas
Atlas › Integer Profiles › Node 76,359,088

76,359,088

24 × 13 × 29 × 12659
Abundant Even Composite

76,359,088 factors as 2^4 × 13 × 29 × 12659. Its 40 positive divisors give a proper-divisor sum of 88,474,112, so this integer is abundant. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 29 × 12659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 164,833,200
Proper Divisor Sum 88,474,112
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #76359077 ← → #76359089

Radix Representation

Decimal 76359088
Binary 100100011010010010110110000 (27 bits)
Octal 0o443222660
Hexadecimal 0x48D25B0

Divisor Catalog (40)

1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1,508 3,016 6,032 12,659 25,318 50,636 101,272 164,567 202,544 329,134 367,111 658,268 734,222 1,316,536 1,468,444 2,633,072 2,936,888 4,772,443 5,873,776 9,544,886 19,089,772 38,179,544 76,359,088

Collatz Trajectory (272 steps to reach 1)

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

76,359,088 38,179,544 19,089,772 9,544,886 4,772,443 14,317,330 7,158,665 21,475,996 10,737,998 5,368,999 16,106,998 8,053,499 24,160,498 12,080,249 36,240,748 18,120,374 9,060,187 27,180,562 13,590,281 40,770,844 20,385,422 10,192,711 30,578,134 15,289,067 45,867,202 22,933,601 68,800,804 34,400,402 17,200,201 51,600,604 25,800,302 12,900,151 38,700,454 19,350,227 58,050,682 29,025,341 87,076,024 43,538,012 21,769,006 10,884,503 32,653,510 16,326,755 48,980,266 24,490,133 73,470,400 36,735,200 18,367,600 9,183,800 4,591,900 2,295,950 1,147,975 3,443,926 1,721,963 5,165,890 2,582,945 7,748,836 3,874,418 1,937,209 5,811,628 2,905,814

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