λ
Sequence Observatory

3,985,853

3985853
Deficient Odd Prime

Starting at 3,985,853, the Collatz iteration reaches 1 after 260 steps. The first transition is 11957560; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 3985853
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,985,854
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3985843 ← → #3985859

Radix Representation

Decimal 3985853
Binary 1111001101000110111101 (22 bits)
Octal 0o17150675
Hexadecimal 0x3CD1BD

Divisor Catalog (2)

Collatz Trajectory (260 steps to reach 1)

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

3,985,853 11,957,560 5,978,780 2,989,390 1,494,695 4,484,086 2,242,043 6,726,130 3,363,065 10,089,196 5,044,598 2,522,299 7,566,898 3,783,449 11,350,348 5,675,174 2,837,587 8,512,762 4,256,381 12,769,144 6,384,572 3,192,286 1,596,143 4,788,430 2,394,215 7,182,646 3,591,323 10,773,970 5,386,985 16,160,956 8,080,478 4,040,239 12,120,718 6,060,359 18,181,078 9,090,539 27,271,618 13,635,809 40,907,428 20,453,714 10,226,857 30,680,572 15,340,286 7,670,143 23,010,430 11,505,215 34,515,646 17,257,823 51,773,470 25,886,735 77,660,206 38,830,103 116,490,310 58,245,155 174,735,466 87,367,733 262,103,200 131,051,600 65,525,800 32,762,900

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