6,117,990

2 × 3 × 5 × 47 × 4339

Starting at 6,117,990, the Collatz iteration reaches 1 after 134 steps. The first transition is 3058995; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 47 × 4339

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 14,999,040

Proper Divisor Sum 8,881,050

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6117983 ← → #6118001

Radix Representation

Decimal	6117990
Binary	10111010101101001100110 (23 bits)
Octal	0o27255146
Hexadecimal	0x5D5A66

Divisor Catalog (32)

1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1,410 4,339 8,678 13,017 21,695 26,034 43,390 65,085 130,170 203,933 407,866 611,799 1,019,665 1,223,598 2,039,330 3,058,995 6,117,990

Collatz Trajectory (134 steps to reach 1)

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

6,117,990 3,058,995 9,176,986 4,588,493 13,765,480 6,882,740 3,441,370 1,720,685 5,162,056 2,581,028 1,290,514 645,257 1,935,772 967,886 483,943 1,451,830 725,915 2,177,746 1,088,873 3,266,620 1,633,310 816,655 2,449,966 1,224,983 3,674,950 1,837,475 5,512,426 2,756,213 8,268,640 4,134,320 2,067,160 1,033,580 516,790 258,395 775,186 387,593 1,162,780 581,390 290,695 872,086 436,043 1,308,130 654,065 1,962,196 981,098 490,549 1,471,648 735,824 367,912 183,956 91,978 45,989 137,968 68,984 34,492 17,246 8,623 25,870 12,935 38,806

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