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Atlas › Integer Profiles › Node 3,558,968

3,558,968

23 × 73 × 1297
Abundant Even Composite

3,558,968 factors as 2^3 × 7^3 × 1297. Its 32 positive divisors give a proper-divisor sum of 4,229,032, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 7^3 × 1297
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,788,000
Proper Divisor Sum 4,229,032
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #3558953 ← → #3558979

Radix Representation

Decimal 3558968
Binary 1101100100111000111000 (22 bits)
Octal 0o15447070
Hexadecimal 0x364E38

Divisor Catalog (32)

1 2 4 7 8 14 28 49 56 98 196 343 392 686 1,297 1,372 2,594 2,744 5,188 9,079 10,376 18,158 36,316 63,553 72,632 127,106 254,212 444,871 508,424 889,742 1,779,484 3,558,968

Collatz Trajectory (146 steps to reach 1)

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

3,558,968 1,779,484 889,742 444,871 1,334,614 667,307 2,001,922 1,000,961 3,002,884 1,501,442 750,721 2,252,164 1,126,082 563,041 1,689,124 844,562 422,281 1,266,844 633,422 316,711 950,134 475,067 1,425,202 712,601 2,137,804 1,068,902 534,451 1,603,354 801,677 2,405,032 1,202,516 601,258 300,629 901,888 450,944 225,472 112,736 56,368 28,184 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766

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