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Atlas › Integer Profiles › Node 3,036,258

3,036,258

2 × 33 × 59 × 953
Abundant Even Composite

3,036,258 factors as 2 × 3^3 × 59 × 953. Its 32 positive divisors give a proper-divisor sum of 3,832,542, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 59 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,868,800
Proper Divisor Sum 3,832,542
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3036221 ← → #3036269

Radix Representation

Decimal 3036258
Binary 1011100101010001100010 (22 bits)
Octal 0o13452142
Hexadecimal 0x2E5462

Divisor Catalog (32)

1 2 3 6 9 18 27 54 59 118 177 354 531 953 1,062 1,593 1,906 2,859 3,186 5,718 8,577 17,154 25,731 51,462 56,227 112,454 168,681 337,362 506,043 1,012,086 1,518,129 3,036,258

Collatz Trajectory (213 steps to reach 1)

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

3,036,258 1,518,129 4,554,388 2,277,194 1,138,597 3,415,792 1,707,896 853,948 426,974 213,487 640,462 320,231 960,694 480,347 1,441,042 720,521 2,161,564 1,080,782 540,391 1,621,174 810,587 2,431,762 1,215,881 3,647,644 1,823,822 911,911 2,735,734 1,367,867 4,103,602 2,051,801 6,155,404 3,077,702 1,538,851 4,616,554 2,308,277 6,924,832 3,462,416 1,731,208 865,604 432,802 216,401 649,204 324,602 162,301 486,904 243,452 121,726 60,863 182,590 91,295 273,886 136,943 410,830 205,415 616,246 308,123 924,370 462,185 1,386,556 693,278

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