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Atlas › Integer Profiles › Node 76,359,752

76,359,752

23 × 7 × 73 × 18679
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 73 × 18679
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 165,878,400
Proper Divisor Sum 89,518,648
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #76359743 ← → #76359757

Radix Representation

Decimal 76359752
Binary 100100011010010100001001000 (27 bits)
Octal 0o443224110
Hexadecimal 0x48D2848

Divisor Catalog (32)

1 2 4 7 8 14 28 56 73 146 292 511 584 1,022 2,044 4,088 18,679 37,358 74,716 130,753 149,432 261,506 523,012 1,046,024 1,363,567 2,727,134 5,454,268 9,544,969 10,908,536 19,089,938 38,179,876 76,359,752

Collatz Trajectory (272 steps to reach 1)

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

76,359,752 38,179,876 19,089,938 9,544,969 28,634,908 14,317,454 7,158,727 21,476,182 10,738,091 32,214,274 16,107,137 48,321,412 24,160,706 12,080,353 36,241,060 18,120,530 9,060,265 27,180,796 13,590,398 6,795,199 20,385,598 10,192,799 30,578,398 15,289,199 45,867,598 22,933,799 68,801,398 34,400,699 103,202,098 51,601,049 154,803,148 77,401,574 38,700,787 116,102,362 58,051,181 174,153,544 87,076,772 43,538,386 21,769,193 65,307,580 32,653,790 16,326,895 48,980,686 24,490,343 73,471,030 36,735,515 110,206,546 55,103,273 165,309,820 82,654,910 41,327,455 123,982,366 61,991,183 185,973,550 92,986,775 278,960,326 139,480,163 418,440,490 209,220,245 627,660,736

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