λ
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Atlas › Integer Profiles › Node 28,056,231

28,056,231

32 × 7 × 491 × 907
Deficient Odd Composite

28,056,231 factors as 3^2 × 7 × 491 × 907. Its 24 positive divisors give a proper-divisor sum of 18,404,313, so this integer is deficient. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 491 × 907
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 46,460,544
Proper Divisor Sum 18,404,313
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #28056221 ← → #28056257

Radix Representation

Decimal 28056231
Binary 1101011000001101010100111 (25 bits)
Octal 0o153015247
Hexadecimal 0x1AC1AA7

Divisor Catalog (24)

1 3 7 9 21 63 491 907 1,473 2,721 3,437 4,419 6,349 8,163 10,311 19,047 30,933 57,141 445,337 1,336,011 3,117,359 4,008,033 9,352,077 28,056,231

Collatz Trajectory (291 steps to reach 1)

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

28,056,231 84,168,694 42,084,347 126,253,042 63,126,521 189,379,564 94,689,782 47,344,891 142,034,674 71,017,337 213,052,012 106,526,006 53,263,003 159,789,010 79,894,505 239,683,516 119,841,758 59,920,879 179,762,638 89,881,319 269,643,958 134,821,979 404,465,938 202,232,969 606,698,908 303,349,454 151,674,727 455,024,182 227,512,091 682,536,274 341,268,137 1,023,804,412 511,902,206 255,951,103 767,853,310 383,926,655 1,151,779,966 575,889,983 1,727,669,950 863,834,975 2,591,504,926 1,295,752,463 3,887,257,390 1,943,628,695 5,830,886,086 2,915,443,043 8,746,329,130 4,373,164,565 13,119,493,696 6,559,746,848 3,279,873,424 1,639,936,712 819,968,356 409,984,178 204,992,089 614,976,268 307,488,134 153,744,067 461,232,202 230,616,101

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