6,790,758

2 × 3 × 13² × 37 × 181

Starting at 6,790,758, the Collatz iteration reaches 1 after 129 steps. The first transition is 3395379; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13^2 × 37 × 181

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,187,536

Proper Divisor Sum 8,396,778

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6790753 ← → #6790759

Radix Representation

Decimal	6790758
Binary	11001111001111001100110 (23 bits)
Octal	0o31717146
Hexadecimal	0x679E66

Divisor Catalog (48)

1 2 3 6 13 26 37 39 74 78 111 169 181 222 338 362 481 507 543 962 1,014 1,086 1,443 2,353 2,886 4,706 6,253 6,697 7,059 12,506 13,394 14,118 18,759 20,091 30,589 37,518 40,182 61,178 87,061 91,767 174,122 183,534 261,183 522,366 1,131,793 2,263,586 3,395,379 6,790,758

Collatz Trajectory (129 steps to reach 1)

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

6,790,758 3,395,379 10,186,138 5,093,069 15,279,208 7,639,604 3,819,802 1,909,901 5,729,704 2,864,852 1,432,426 716,213 2,148,640 1,074,320 537,160 268,580 134,290 67,145 201,436 100,718 50,359 151,078 75,539 226,618 113,309 339,928 169,964 84,982 42,491 127,474 63,737 191,212 95,606 47,803 143,410 71,705 215,116 107,558 53,779 161,338 80,669 242,008 121,004 60,502 30,251 90,754 45,377 136,132 68,066 34,033 102,100 51,050 25,525 76,576 38,288 19,144 9,572 4,786 2,393 7,180

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