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Atlas › Integer Profiles › Node 3,370,192

3,370,192

24 × 7 × 30091
Abundant Even Composite

3,370,192 factors as 2^4 × 7 × 30091. Its 20 positive divisors give a proper-divisor sum of 4,092,624, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 30091
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,462,816
Proper Divisor Sum 4,092,624
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3370183 ← → #3370243

Radix Representation

Decimal 3370192
Binary 1100110110110011010000 (22 bits)
Octal 0o14666320
Hexadecimal 0x336CD0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 30,091 60,182 120,364 210,637 240,728 421,274 481,456 842,548 1,685,096 3,370,192

Collatz Trajectory (146 steps to reach 1)

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

3,370,192 1,685,096 842,548 421,274 210,637 631,912 315,956 157,978 78,989 236,968 118,484 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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