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Atlas › Integer Profiles › Node 3,501,524

3,501,524

22 × 13 × 172 × 233
Abundant Even Composite

3,501,524 factors as 2^2 × 13 × 17^2 × 233. Its 36 positive divisors give a proper-divisor sum of 3,538,600, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 17^2 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,040,124
Proper Divisor Sum 3,538,600
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3501503 ← → #3501587

Radix Representation

Decimal 3501524
Binary 1101010110110111010100 (22 bits)
Octal 0o15266724
Hexadecimal 0x356DD4

Divisor Catalog (36)

1 2 4 13 17 26 34 52 68 221 233 289 442 466 578 884 932 1,156 3,029 3,757 3,961 6,058 7,514 7,922 12,116 15,028 15,844 51,493 67,337 102,986 134,674 205,972 269,348 875,381 1,750,762 3,501,524

Collatz Trajectory (128 steps to reach 1)

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

3,501,524 1,750,762 875,381 2,626,144 1,313,072 656,536 328,268 164,134 82,067 246,202 123,101 369,304 184,652 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396 31,198 15,599 46,798 23,399 70,198 35,099 105,298 52,649 157,948 78,974 39,487 118,462 59,231 177,694 88,847 266,542 133,271

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