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Atlas › Integer Profiles › Node 5,473,150

5,473,150

2 × 52 × 17 × 47 × 137
Abundant Even Composite

5,473,150 factors as 2 × 5^2 × 17 × 47 × 137. Its 48 positive divisors give a proper-divisor sum of 5,615,426, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 47 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,088,576
Proper Divisor Sum 5,615,426
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5473147 ← → #5473183

Radix Representation

Decimal 5473150
Binary 10100111000001101111110 (23 bits)
Octal 0o24701576
Hexadecimal 0x53837E

Divisor Catalog (48)

1 2 5 10 17 25 34 47 50 85 94 137 170 235 274 425 470 685 799 850 1,175 1,370 1,598 2,329 2,350 3,425 3,995 4,658 6,439 6,850 7,990 11,645 12,878 19,975 23,290 32,195 39,950 58,225 64,390 109,463 116,450 160,975 218,926 321,950 547,315 1,094,630 2,736,575 5,473,150

Collatz Trajectory (170 steps to reach 1)

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

5,473,150 2,736,575 8,209,726 4,104,863 12,314,590 6,157,295 18,471,886 9,235,943 27,707,830 13,853,915 41,561,746 20,780,873 62,342,620 31,171,310 15,585,655 46,756,966 23,378,483 70,135,450 35,067,725 105,203,176 52,601,588 26,300,794 13,150,397 39,451,192 19,725,596 9,862,798 4,931,399 14,794,198 7,397,099 22,191,298 11,095,649 33,286,948 16,643,474 8,321,737 24,965,212 12,482,606 6,241,303 18,723,910 9,361,955 28,085,866 14,042,933 42,128,800 21,064,400 10,532,200 5,266,100 2,633,050 1,316,525 3,949,576 1,974,788 987,394 493,697 1,481,092 740,546 370,273 1,110,820 555,410 277,705 833,116 416,558 208,279

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