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Atlas › Integer Profiles › Node 3,399,100

3,399,100

22 × 52 × 19 × 1789
Abundant Even Composite

3,399,100 factors as 2^2 × 5^2 × 19 × 1789. Its 36 positive divisors give a proper-divisor sum of 4,369,500, so this integer is abundant. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 19 × 1789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,768,600
Proper Divisor Sum 4,369,500
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3399089 ← → #3399127

Radix Representation

Decimal 3399100
Binary 1100111101110110111100 (22 bits)
Octal 0o14756674
Hexadecimal 0x33DDBC

Divisor Catalog (36)

1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1,789 1,900 3,578 7,156 8,945 17,890 33,991 35,780 44,725 67,982 89,450 135,964 169,955 178,900 339,910 679,820 849,775 1,699,550 3,399,100

Collatz Trajectory (252 steps to reach 1)

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

3,399,100 1,699,550 849,775 2,549,326 1,274,663 3,823,990 1,911,995 5,735,986 2,867,993 8,603,980 4,301,990 2,150,995 6,452,986 3,226,493 9,679,480 4,839,740 2,419,870 1,209,935 3,629,806 1,814,903 5,444,710 2,722,355 8,167,066 4,083,533 12,250,600 6,125,300 3,062,650 1,531,325 4,593,976 2,296,988 1,148,494 574,247 1,722,742 861,371 2,584,114 1,292,057 3,876,172 1,938,086 969,043 2,907,130 1,453,565 4,360,696 2,180,348 1,090,174 545,087 1,635,262 817,631 2,452,894 1,226,447 3,679,342 1,839,671 5,519,014 2,759,507 8,278,522 4,139,261 12,417,784 6,208,892 3,104,446 1,552,223 4,656,670

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