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Atlas › Integer Profiles › Node 30,173,140

30,173,140

22 × 5 × 19 × 271 × 293
Abundant Even Composite

30,173,140 factors as 2^2 × 5 × 19 × 271 × 293. Its 48 positive divisors give a proper-divisor sum of 36,999,980, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 271 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 67,173,120
Proper Divisor Sum 36,999,980
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #30173063 ← → #30173141

Radix Representation

Decimal 30173140
Binary 1110011000110011111010100 (25 bits)
Octal 0o163063724
Hexadecimal 0x1CC67D4

Divisor Catalog (48)

1 2 4 5 10 19 20 38 76 95 190 271 293 380 542 586 1,084 1,172 1,355 1,465 2,710 2,930 5,149 5,420 5,567 5,860 10,298 11,134 20,596 22,268 25,745 27,835 51,490 55,670 79,403 102,980 111,340 158,806 317,612 397,015 794,030 1,508,657 1,588,060 3,017,314 6,034,628 7,543,285 15,086,570 30,173,140

Collatz Trajectory (175 steps to reach 1)

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

30,173,140 15,086,570 7,543,285 22,629,856 11,314,928 5,657,464 2,828,732 1,414,366 707,183 2,121,550 1,060,775 3,182,326 1,591,163 4,773,490 2,386,745 7,160,236 3,580,118 1,790,059 5,370,178 2,685,089 8,055,268 4,027,634 2,013,817 6,041,452 3,020,726 1,510,363 4,531,090 2,265,545 6,796,636 3,398,318 1,699,159 5,097,478 2,548,739 7,646,218 3,823,109 11,469,328 5,734,664 2,867,332 1,433,666 716,833 2,150,500 1,075,250 537,625 1,612,876 806,438 403,219 1,209,658 604,829 1,814,488 907,244 453,622 226,811 680,434 340,217 1,020,652 510,326 255,163 765,490 382,745 1,148,236

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