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Atlas › Integer Profiles › Node 4,240,908

4,240,908

22 × 32 × 7 × 16829
Abundant Even Composite

4,240,908 factors as 2^2 × 3^2 × 7 × 16829. Its 36 positive divisors give a proper-divisor sum of 8,011,332, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 16829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 12,252,240
Proper Divisor Sum 8,011,332
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4240853 ← → #4240909

Radix Representation

Decimal 4240908
Binary 10000001011011000001100 (23 bits)
Octal 0o20133014
Hexadecimal 0x40B60C

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 16,829 33,658 50,487 67,316 100,974 117,803 151,461 201,948 235,606 302,922 353,409 471,212 605,844 706,818 1,060,227 1,413,636 2,120,454 4,240,908

Collatz Trajectory (105 steps to reach 1)

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

4,240,908 2,120,454 1,060,227 3,180,682 1,590,341 4,771,024 2,385,512 1,192,756 596,378 298,189 894,568 447,284 223,642 111,821 335,464 167,732 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 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912

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