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Atlas › Integer Profiles › Node 76,359,612

76,359,612

22 × 3 × 7 × 909043
Abundant Even Composite

76,359,612 factors as 2^2 × 3 × 7 × 909043. Its 24 positive divisors give a proper-divisor sum of 127,266,244, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 909043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 203,625,856
Proper Divisor Sum 127,266,244
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #76359599 ← → #76359641

Radix Representation

Decimal 76359612
Binary 100100011010010011110111100 (27 bits)
Octal 0o443223674
Hexadecimal 0x48D27BC

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 909,043 1,818,086 2,727,129 3,636,172 5,454,258 6,363,301 10,908,516 12,726,602 19,089,903 25,453,204 38,179,806 76,359,612

Collatz Trajectory (228 steps to reach 1)

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

76,359,612 38,179,806 19,089,903 57,269,710 28,634,855 85,904,566 42,952,283 128,856,850 64,428,425 193,285,276 96,642,638 48,321,319 144,963,958 72,481,979 217,445,938 108,722,969 326,168,908 163,084,454 81,542,227 244,626,682 122,313,341 366,940,024 183,470,012 91,735,006 45,867,503 137,602,510 68,801,255 206,403,766 103,201,883 309,605,650 154,802,825 464,408,476 232,204,238 116,102,119 348,306,358 174,153,179 522,459,538 261,229,769 783,689,308 391,844,654 195,922,327 587,766,982 293,883,491 881,650,474 440,825,237 1,322,475,712 661,237,856 330,618,928 165,309,464 82,654,732 41,327,366 20,663,683 61,991,050 30,995,525 92,986,576 46,493,288 23,246,644 11,623,322 5,811,661 17,434,984

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