λ
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Atlas › Integer Profiles › Node 3,293,264

3,293,264

24 × 13 × 71 × 223
Abundant Even Composite

3,293,264 factors as 2^4 × 13 × 71 × 223. Its 40 positive divisors give a proper-divisor sum of 3,706,288, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 71 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,999,552
Proper Divisor Sum 3,706,288
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3293239 ← → #3293281

Radix Representation

Decimal 3293264
Binary 1100100100000001010000 (22 bits)
Octal 0o14440120
Hexadecimal 0x324050

Divisor Catalog (40)

1 2 4 8 13 16 26 52 71 104 142 208 223 284 446 568 892 923 1,136 1,784 1,846 2,899 3,568 3,692 5,798 7,384 11,596 14,768 15,833 23,192 31,666 46,384 63,332 126,664 205,829 253,328 411,658 823,316 1,646,632 3,293,264

Collatz Trajectory (177 steps to reach 1)

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

3,293,264 1,646,632 823,316 411,658 205,829 617,488 308,744 154,372 77,186 38,593 115,780 57,890 28,945 86,836 43,418 21,709 65,128 32,564 16,282 8,141 24,424 12,212 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97

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