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Atlas › Integer Profiles › Node 30,828,532

30,828,532

22 × 7 × 892 × 139
Abundant Even Composite

30,828,532 factors as 2^2 × 7 × 89^2 × 139. Its 36 positive divisors give a proper-divisor sum of 31,977,708, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 89^2 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 62,806,240
Proper Divisor Sum 31,977,708
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #30828529 ← → #30828541

Radix Representation

Decimal 30828532
Binary 1110101100110011111110100 (25 bits)
Octal 0o165463764
Hexadecimal 0x1D667F4

Divisor Catalog (36)

1 2 4 7 14 28 89 139 178 278 356 556 623 973 1,246 1,946 2,492 3,892 7,921 12,371 15,842 24,742 31,684 49,484 55,447 86,597 110,894 173,194 221,788 346,388 1,101,019 2,202,038 4,404,076 7,707,133 15,414,266 30,828,532

Collatz Trajectory (263 steps to reach 1)

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

30,828,532 15,414,266 7,707,133 23,121,400 11,560,700 5,780,350 2,890,175 8,670,526 4,335,263 13,005,790 6,502,895 19,508,686 9,754,343 29,263,030 14,631,515 43,894,546 21,947,273 65,841,820 32,920,910 16,460,455 49,381,366 24,690,683 74,072,050 37,036,025 111,108,076 55,554,038 27,777,019 83,331,058 41,665,529 124,996,588 62,498,294 31,249,147 93,747,442 46,873,721 140,621,164 70,310,582 35,155,291 105,465,874 52,732,937 158,198,812 79,099,406 39,549,703 118,649,110 59,324,555 177,973,666 88,986,833 266,960,500 133,480,250 66,740,125 200,220,376 100,110,188 50,055,094 25,027,547 75,082,642 37,541,321 112,623,964 56,311,982 28,155,991 84,467,974 42,233,987

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