3,137,634

2 × 3² × 31 × 5623

3,137,634 factors as 2 × 3^2 × 31 × 5623. Its 24 positive divisors give a proper-divisor sum of 3,881,118, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 5623

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,018,752

Proper Divisor Sum 3,881,118

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3137627 ← → #3137663

Radix Representation

Decimal	3137634
Binary	1011111110000001100010 (22 bits)
Octal	0o13760142
Hexadecimal	0x2FE062

Divisor Catalog (24)

Collatz Trajectory (133 steps to reach 1)

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

3,137,634 1,568,817 4,706,452 2,353,226 1,176,613 3,529,840 1,764,920 882,460 441,230 220,615 661,846 330,923 992,770 496,385 1,489,156 744,578 372,289 1,116,868 558,434 279,217 837,652 418,826 209,413 628,240 314,120 157,060 78,530 39,265 117,796 58,898 29,449 88,348 44,174 22,087 66,262 33,131 99,394 49,697 149,092 74,546 37,273 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906

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