6,806,861

41 × 166021

Starting at 6,806,861, the Collatz iteration reaches 1 after 160 steps. The first transition is 20420584; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 166021

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,972,924

Proper Divisor Sum 166,063

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6806837 ← → #6806893

Radix Representation

Decimal	6806861
Binary	11001111101110101001101 (23 bits)
Octal	0o31756515
Hexadecimal	0x67DD4D

Divisor Catalog (4)

1 41 166,021 6,806,861

Collatz Trajectory (160 steps to reach 1)

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

6,806,861 20,420,584 10,210,292 5,105,146 2,552,573 7,657,720 3,828,860 1,914,430 957,215 2,871,646 1,435,823 4,307,470 2,153,735 6,461,206 3,230,603 9,691,810 4,845,905 14,537,716 7,268,858 3,634,429 10,903,288 5,451,644 2,725,822 1,362,911 4,088,734 2,044,367 6,133,102 3,066,551 9,199,654 4,599,827 13,799,482 6,899,741 20,699,224 10,349,612 5,174,806 2,587,403 7,762,210 3,881,105 11,643,316 5,821,658 2,910,829 8,732,488 4,366,244 2,183,122 1,091,561 3,274,684 1,637,342 818,671 2,456,014 1,228,007 3,684,022 1,842,011 5,526,034 2,763,017 8,289,052 4,144,526 2,072,263 6,216,790 3,108,395 9,325,186

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