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Atlas › Integer Profiles › Node 30,588,536

30,588,536

23 × 11 × 281 × 1237
Abundant Even Composite

30,588,536 factors as 2^3 × 11 × 281 × 1237. Its 32 positive divisors give a proper-divisor sum of 32,252,344, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 281 × 1237
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,840,880
Proper Divisor Sum 32,252,344
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #30588521 ← → #30588539

Radix Representation

Decimal 30588536
Binary 1110100101011111001111000 (25 bits)
Octal 0o164537170
Hexadecimal 0x1D2BE78

Divisor Catalog (32)

1 2 4 8 11 22 44 88 281 562 1,124 1,237 2,248 2,474 3,091 4,948 6,182 9,896 12,364 13,607 24,728 27,214 54,428 108,856 347,597 695,194 1,390,388 2,780,776 3,823,567 7,647,134 15,294,268 30,588,536

Collatz Trajectory (175 steps to reach 1)

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

30,588,536 15,294,268 7,647,134 3,823,567 11,470,702 5,735,351 17,206,054 8,603,027 25,809,082 12,904,541 38,713,624 19,356,812 9,678,406 4,839,203 14,517,610 7,258,805 21,776,416 10,888,208 5,444,104 2,722,052 1,361,026 680,513 2,041,540 1,020,770 510,385 1,531,156 765,578 382,789 1,148,368 574,184 287,092 143,546 71,773 215,320 107,660 53,830 26,915 80,746 40,373 121,120 60,560 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899

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