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Atlas › Integer Profiles › Node 6,010,280

6,010,280

23 × 5 × 31 × 37 × 131
Abundant Even Composite

6,010,280 factors as 2^3 × 5 × 31 × 37 × 131. Its 64 positive divisors give a proper-divisor sum of 8,435,800, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 37 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,446,080
Proper Divisor Sum 8,435,800
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6010261 ← → #6010307

Radix Representation

Decimal 6010280
Binary 10110111011010110101000 (23 bits)
Octal 0o26732650
Hexadecimal 0x5BB5A8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 31 37 40 62 74 124 131 148 155 185 248 262 296 310 370 524 620 655 740 1,048 1,147 1,240 1,310 1,480 2,294 2,620 4,061 4,588 4,847 5,240 5,735 8,122 9,176 9,694 11,470 16,244 19,388 20,305 22,940 24,235 32,488 38,776 40,610 45,880 48,470 81,220 96,940 150,257 162,440 193,880 300,514 601,028 751,285

Collatz Trajectory (152 steps to reach 1)

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

6,010,280 3,005,140 1,502,570 751,285 2,253,856 1,126,928 563,464 281,732 140,866 70,433 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182

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