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Atlas › Integer Profiles › Node 3,370,296

3,370,296

23 × 3 × 192 × 389
Abundant Even Composite

3,370,296 factors as 2^3 × 3 × 19^2 × 389. Its 48 positive divisors give a proper-divisor sum of 5,545,104, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19^2 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,915,400
Proper Divisor Sum 5,545,104
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3370291 ← → #3370309

Radix Representation

Decimal 3370296
Binary 1100110110110100111000 (22 bits)
Octal 0o14666470
Hexadecimal 0x336D38

Divisor Catalog (48)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 389 456 722 778 1,083 1,167 1,444 1,556 2,166 2,334 2,888 3,112 4,332 4,668 7,391 8,664 9,336 14,782 22,173 29,564 44,346 59,128 88,692 140,429 177,384 280,858 421,287 561,716 842,574 1,123,432 1,685,148 3,370,296

Collatz Trajectory (208 steps to reach 1)

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

3,370,296 1,685,148 842,574 421,287 1,263,862 631,931 1,895,794 947,897 2,843,692 1,421,846 710,923 2,132,770 1,066,385 3,199,156 1,599,578 799,789 2,399,368 1,199,684 599,842 299,921 899,764 449,882 224,941 674,824 337,412 168,706 84,353 253,060 126,530 63,265 189,796 94,898 47,449 142,348 71,174 35,587 106,762 53,381 160,144 80,072 40,036 20,018 10,009 30,028 15,014 7,507 22,522 11,261 33,784 16,892 8,446 4,223 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383

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