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Atlas › Integer Profiles › Node 49,441

49,441

72 × 1009
Deficient Odd Composite

49,441 is odd and not a perfect square. Its factorization is 7^2 × 1009 and its 6 divisors sum to 57,570.

Prime Factor Structure

Factorization String 7^2 × 1009
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 57,570
Proper Divisor Sum 8,129
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #49433 ← → #49451

Radix Representation

Decimal 49441
Binary 1100000100100001 (16 bits)
Octal 0o140441
Hexadecimal 0xC121

Divisor Catalog (6)

1 7 49 1,009 7,063 49,441

Collatz Trajectory (96 steps to reach 1)

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

49,441 148,324 74,162 37,081 111,244 55,622 27,811 83,434 41,717 125,152 62,576 31,288 15,644 7,822 3,911 11,734 5,867 17,602 8,801 26,404 13,202 6,601 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314

More profiles

9,349,574 919,191 3,576,314 4,619,813 435,587 9,538,998 5,025,222 9,193,195 7,577,492 7,514,446 3,752,890 7,839,200 2,629,977 5,925,600 8,981,272 1,433,530
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