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Atlas › Integer Profiles › Node 6,160,630

6,160,630

2 × 5 × 7 × 17 × 31 × 167
Abundant Even Composite

6,160,630 factors as 2 × 5 × 7 × 17 × 31 × 167. Its 64 positive divisors give a proper-divisor sum of 7,773,962, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 31 × 167
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,934,592
Proper Divisor Sum 7,773,962
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6160621 ← → #6160633

Radix Representation

Decimal 6160630
Binary 10111100000000011110110 (23 bits)
Octal 0o27400366
Hexadecimal 0x5E00F6

Divisor Catalog (60 of 64)

1 2 5 7 10 14 17 31 34 35 62 70 85 119 155 167 170 217 238 310 334 434 527 595 835 1,054 1,085 1,169 1,190 1,670 2,170 2,338 2,635 2,839 3,689 5,177 5,270 5,678 5,845 7,378 10,354 11,690 14,195 18,445 19,873 25,885 28,390 36,239 36,890 39,746 51,770 72,478 88,009 99,365 176,018 181,195 198,730 362,390 440,045 616,063

Collatz Trajectory (108 steps to reach 1)

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

6,160,630 3,080,315 9,240,946 4,620,473 13,861,420 6,930,710 3,465,355 10,396,066 5,198,033 15,594,100 7,797,050 3,898,525 11,695,576 5,847,788 2,923,894 1,461,947 4,385,842 2,192,921 6,578,764 3,289,382 1,644,691 4,934,074 2,467,037 7,401,112 3,700,556 1,850,278 925,139 2,775,418 1,387,709 4,163,128 2,081,564 1,040,782 520,391 1,561,174 780,587 2,341,762 1,170,881 3,512,644 1,756,322 878,161 2,634,484 1,317,242 658,621 1,975,864 987,932 493,966 246,983 740,950 370,475 1,111,426 555,713 1,667,140 833,570 416,785 1,250,356 625,178 312,589 937,768 468,884 234,442

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