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Atlas › Integer Profiles › Node 3,133,256

3,133,256

23 × 72 × 7993
Abundant Even Composite

3,133,256 factors as 2^3 × 7^2 × 7993. Its 24 positive divisors give a proper-divisor sum of 3,701,614, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 7993
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,834,870
Proper Divisor Sum 3,701,614
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3133243 ← → #3133259

Radix Representation

Decimal 3133256
Binary 1011111100111101001000 (22 bits)
Octal 0o13747510
Hexadecimal 0x2FCF48

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 7,993 15,986 31,972 55,951 63,944 111,902 223,804 391,657 447,608 783,314 1,566,628 3,133,256

Collatz Trajectory (177 steps to reach 1)

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

3,133,256 1,566,628 783,314 391,657 1,174,972 587,486 293,743 881,230 440,615 1,321,846 660,923 1,982,770 991,385 2,974,156 1,487,078 743,539 2,230,618 1,115,309 3,345,928 1,672,964 836,482 418,241 1,254,724 627,362 313,681 941,044 470,522 235,261 705,784 352,892 176,446 88,223 264,670 132,335 397,006 198,503 595,510 297,755 893,266 446,633 1,339,900 669,950 334,975 1,004,926 502,463 1,507,390 753,695 2,261,086 1,130,543 3,391,630 1,695,815 5,087,446 2,543,723 7,631,170 3,815,585 11,446,756 5,723,378 2,861,689 8,585,068 4,292,534

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