λ
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Atlas › Integer Profiles › Node 30,242,562

30,242,562

2 × 3 × 7 × 23 × 31307
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7 × 23 × 31307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,133,632
Proper Divisor Sum 41,891,070
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #30242549 ← → #30242567

Radix Representation

Decimal 30242562
Binary 1110011010111011100000010 (25 bits)
Octal 0o163273402
Hexadecimal 0x1CD7702

Divisor Catalog (32)

1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 966 31,307 62,614 93,921 187,842 219,149 438,298 657,447 720,061 1,314,894 1,440,122 2,160,183 4,320,366 5,040,427 10,080,854 15,121,281 30,242,562

Collatz Trajectory (294 steps to reach 1)

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

30,242,562 15,121,281 45,363,844 22,681,922 11,340,961 34,022,884 17,011,442 8,505,721 25,517,164 12,758,582 6,379,291 19,137,874 9,568,937 28,706,812 14,353,406 7,176,703 21,530,110 10,765,055 32,295,166 16,147,583 48,442,750 24,221,375 72,664,126 36,332,063 108,996,190 54,498,095 163,494,286 81,747,143 245,241,430 122,620,715 367,862,146 183,931,073 551,793,220 275,896,610 137,948,305 413,844,916 206,922,458 103,461,229 310,383,688 155,191,844 77,595,922 38,797,961 116,393,884 58,196,942 29,098,471 87,295,414 43,647,707 130,943,122 65,471,561 196,414,684 98,207,342 49,103,671 147,311,014 73,655,507 220,966,522 110,483,261 331,449,784 165,724,892 82,862,446 41,431,223

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