3,395,008

2⁶ × 53047

3,395,008 factors as 2^6 × 53047. Its 14 positive divisors give a proper-divisor sum of 3,342,088, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^6 × 53047

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 6,737,096

Proper Divisor Sum 3,342,088

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3394999 ← → #3395033

Radix Representation

Decimal	3395008
Binary	1100111100110111000000 (22 bits)
Octal	0o14746700
Hexadecimal	0x33CDC0

Divisor Catalog (14)

1 2 4 8 16 32 64 53,047 106,094 212,188 424,376 848,752 1,697,504 3,395,008

Collatz Trajectory (128 steps to reach 1)

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

3,395,008 1,697,504 848,752 424,376 212,188 106,094 53,047 159,142 79,571 238,714 119,357 358,072 179,036 89,518 44,759 134,278 67,139 201,418 100,709 302,128 151,064 75,532 37,766 18,883 56,650 28,325 84,976 42,488 21,244 10,622 5,311 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544

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