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Atlas › Integer Profiles › Node 3,374,016

3,374,016

26 × 3 × 17573
Abundant Even Composite

3,374,016 factors as 2^6 × 3 × 17573. Its 28 positive divisors give a proper-divisor sum of 5,553,576, so this integer is abundant. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 17573
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 8,927,592
Proper Divisor Sum 5,553,576
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3373969 ← → #3374017

Radix Representation

Decimal 3374016
Binary 1100110111101111000000 (22 bits)
Octal 0o14675700
Hexadecimal 0x337BC0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 17,573 35,146 52,719 70,292 105,438 140,584 210,876 281,168 421,752 562,336 843,504 1,124,672 1,687,008 3,374,016

Collatz Trajectory (252 steps to reach 1)

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

3,374,016 1,687,008 843,504 421,752 210,876 105,438 52,719 158,158 79,079 237,238 118,619 355,858 177,929 533,788 266,894 133,447 400,342 200,171 600,514 300,257 900,772 450,386 225,193 675,580 337,790 168,895 506,686 253,343 760,030 380,015 1,140,046 570,023 1,710,070 855,035 2,565,106 1,282,553 3,847,660 1,923,830 961,915 2,885,746 1,442,873 4,328,620 2,164,310 1,082,155 3,246,466 1,623,233 4,869,700 2,434,850 1,217,425 3,652,276 1,826,138 913,069 2,739,208 1,369,604 684,802 342,401 1,027,204 513,602 256,801 770,404

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