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Atlas › Integer Profiles › Node 57,789,184

57,789,184

28 × 19 × 1092
Abundant Even Composite

57,789,184 factors as 2^8 × 19 × 109^2. Its 54 positive divisors give a proper-divisor sum of 64,758,836, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^8 × 19 × 109^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 122,548,020
Proper Divisor Sum 64,758,836
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #57789169 ← → #57789187

Radix Representation

Decimal 57789184
Binary 11011100011100101100000000 (26 bits)
Octal 0o334345400
Hexadecimal 0x371CB00

Divisor Catalog (54)

1 2 4 8 16 19 32 38 64 76 109 128 152 218 256 304 436 608 872 1,216 1,744 2,071 2,432 3,488 4,142 4,864 6,976 8,284 11,881 13,952 16,568 23,762 27,904 33,136 47,524 66,272 95,048 132,544 190,096 225,739 265,088 380,192 451,478 530,176 760,384 902,956 1,520,768 1,805,912 3,041,536 3,611,824 7,223,648 14,447,296 28,894,592 57,789,184

Collatz Trajectory (145 steps to reach 1)

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

57,789,184 28,894,592 14,447,296 7,223,648 3,611,824 1,805,912 902,956 451,478 225,739 677,218 338,609 1,015,828 507,914 253,957 761,872 380,936 190,468 95,234 47,617 142,852 71,426 35,713 107,140 53,570 26,785 80,356 40,178 20,089 60,268 30,134 15,067 45,202 22,601 67,804 33,902 16,951 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100

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