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Atlas › Integer Profiles › Node 8,023,540

8,023,540

22 × 5 × 7 × 223 × 257
Abundant Even Composite

8,023,540 factors as 2^2 × 5 × 7 × 223 × 257. Its 48 positive divisors give a proper-divisor sum of 11,394,572, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 223 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,418,112
Proper Divisor Sum 11,394,572
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8023523 ← → #8023553

Radix Representation

Decimal 8023540
Binary 11110100110110111110100 (23 bits)
Octal 0o36466764
Hexadecimal 0x7A6DF4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 140 223 257 446 514 892 1,028 1,115 1,285 1,561 1,799 2,230 2,570 3,122 3,598 4,460 5,140 6,244 7,196 7,805 8,995 15,610 17,990 31,220 35,980 57,311 114,622 229,244 286,555 401,177 573,110 802,354 1,146,220 1,604,708 2,005,885 4,011,770 8,023,540

Collatz Trajectory (186 steps to reach 1)

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

8,023,540 4,011,770 2,005,885 6,017,656 3,008,828 1,504,414 752,207 2,256,622 1,128,311 3,384,934 1,692,467 5,077,402 2,538,701 7,616,104 3,808,052 1,904,026 952,013 2,856,040 1,428,020 714,010 357,005 1,071,016 535,508 267,754 133,877 401,632 200,816 100,408 50,204 25,102 12,551 37,654 18,827 56,482 28,241 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414

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