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Atlas › Integer Profiles › Node 3,697,524

3,697,524

22 × 32 × 271 × 379
Abundant Even Composite

3,697,524 factors as 2^2 × 3^2 × 271 × 379. Its 36 positive divisors give a proper-divisor sum of 5,708,236, so this integer is abundant. The Collatz stopping time is 353 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 271 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,405,760
Proper Divisor Sum 5,708,236
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3697511 ← → #3697531

Radix Representation

Decimal 3697524
Binary 1110000110101101110100 (22 bits)
Octal 0o16065564
Hexadecimal 0x386B74

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 271 379 542 758 813 1,084 1,137 1,516 1,626 2,274 2,439 3,252 3,411 4,548 4,878 6,822 9,756 13,644 102,709 205,418 308,127 410,836 616,254 924,381 1,232,508 1,848,762 3,697,524

Collatz Trajectory (353 steps to reach 1)

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

3,697,524 1,848,762 924,381 2,773,144 1,386,572 693,286 346,643 1,039,930 519,965 1,559,896 779,948 389,974 194,987 584,962 292,481 877,444 438,722 219,361 658,084 329,042 164,521 493,564 246,782 123,391 370,174 185,087 555,262 277,631 832,894 416,447 1,249,342 624,671 1,874,014 937,007 2,811,022 1,405,511 4,216,534 2,108,267 6,324,802 3,162,401 9,487,204 4,743,602 2,371,801 7,115,404 3,557,702 1,778,851 5,336,554 2,668,277 8,004,832 4,002,416 2,001,208 1,000,604 500,302 250,151 750,454 375,227 1,125,682 562,841 1,688,524 844,262

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