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Atlas › Integer Profiles › Node 3,350,632

3,350,632

23 × 17 × 71 × 347
Abundant Even Composite

3,350,632 factors as 2^3 × 17 × 71 × 347. Its 32 positive divisors give a proper-divisor sum of 3,414,488, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 71 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,765,120
Proper Divisor Sum 3,414,488
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3350629 ← → #3350651

Radix Representation

Decimal 3350632
Binary 1100110010000001101000 (22 bits)
Octal 0o14620150
Hexadecimal 0x332068

Divisor Catalog (32)

1 2 4 8 17 34 68 71 136 142 284 347 568 694 1,207 1,388 2,414 2,776 4,828 5,899 9,656 11,798 23,596 24,637 47,192 49,274 98,548 197,096 418,829 837,658 1,675,316 3,350,632

Collatz Trajectory (115 steps to reach 1)

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

3,350,632 1,675,316 837,658 418,829 1,256,488 628,244 314,122 157,061 471,184 235,592 117,796 58,898 29,449 88,348 44,174 22,087 66,262 33,131 99,394 49,697 149,092 74,546 37,273 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262

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