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Atlas › Integer Profiles › Node 54,800,949

54,800,949

3 × 7 × 89 × 109 × 269
Deficient Odd Composite

54,800,949 factors as 3 × 7 × 89 × 109 × 269. Its 32 positive divisors give a proper-divisor sum of 30,735,051, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3 × 7 × 89 × 109 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,536,000
Proper Divisor Sum 30,735,051
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #54800947 ← → #54800971

Radix Representation

Decimal 54800949
Binary 11010001000011001000110101 (26 bits)
Octal 0o321031065
Hexadecimal 0x3443235

Divisor Catalog (32)

1 3 7 21 89 109 267 269 327 623 763 807 1,869 1,883 2,289 5,649 9,701 23,941 29,103 29,321 67,907 71,823 87,963 167,587 203,721 205,247 502,761 615,741 2,609,569 7,828,707 18,266,983 54,800,949

Collatz Trajectory (225 steps to reach 1)

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

54,800,949 164,402,848 82,201,424 41,100,712 20,550,356 10,275,178 5,137,589 15,412,768 7,706,384 3,853,192 1,926,596 963,298 481,649 1,444,948 722,474 361,237 1,083,712 541,856 270,928 135,464 67,732 33,866 16,933 50,800 25,400 12,700 6,350 3,175 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732

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