627,186

2 × 3 × 7 × 109 × 137

Starting at 627,186, the Collatz iteration reaches 1 after 154 steps. The first transition is 313593; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 109 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,457,280

Proper Divisor Sum 830,094

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #627169 ← → #627191

Radix Representation

Decimal	627186
Binary	10011001000111110010 (20 bits)
Octal	0o2310762
Hexadecimal	0x991F2

Divisor Catalog (32)

1 2 3 6 7 14 21 42 109 137 218 274 327 411 654 763 822 959 1,526 1,918 2,289 2,877 4,578 5,754 14,933 29,866 44,799 89,598 104,531 209,062 313,593 627,186

Collatz Trajectory (154 steps to reach 1)

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

627,186 313,593 940,780 470,390 235,195 705,586 352,793 1,058,380 529,190 264,595 793,786 396,893 1,190,680 595,340 297,670 148,835 446,506 223,253 669,760 334,880 167,440 83,720 41,860 20,930 10,465 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747 143,242

← Previous Integer #627,185 Browse Full Index Next Integer #627,187 →