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Atlas › Integer Profiles › Node 3,394,780

3,394,780

22 × 5 × 269 × 631
Abundant Even Composite

3,394,780 factors as 2^2 × 5 × 269 × 631. Its 24 positive divisors give a proper-divisor sum of 3,772,100, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 269 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,166,880
Proper Divisor Sum 3,772,100
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3394771 ← → #3394799

Radix Representation

Decimal 3394780
Binary 1100111100110011011100 (22 bits)
Octal 0o14746334
Hexadecimal 0x33CCDC

Divisor Catalog (24)

1 2 4 5 10 20 269 538 631 1,076 1,262 1,345 2,524 2,690 3,155 5,380 6,310 12,620 169,739 339,478 678,956 848,695 1,697,390 3,394,780

Collatz Trajectory (133 steps to reach 1)

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

3,394,780 1,697,390 848,695 2,546,086 1,273,043 3,819,130 1,909,565 5,728,696 2,864,348 1,432,174 716,087 2,148,262 1,074,131 3,222,394 1,611,197 4,833,592 2,416,796 1,208,398 604,199 1,812,598 906,299 2,718,898 1,359,449 4,078,348 2,039,174 1,019,587 3,058,762 1,529,381 4,588,144 2,294,072 1,147,036 573,518 286,759 860,278 430,139 1,290,418 645,209 1,935,628 967,814 483,907 1,451,722 725,861 2,177,584 1,088,792 544,396 272,198 136,099 408,298 204,149 612,448 306,224 153,112 76,556 38,278 19,139 57,418 28,709 86,128 43,064 21,532

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