17,891,724

2² × 3 × 29 × 51413

17,891,724 factors as 2^2 × 3 × 29 × 51413. Its 24 positive divisors give a proper-divisor sum of 25,296,036, so this integer is abundant. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 51413

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 43,187,760

Proper Divisor Sum 25,296,036

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #17891693 ← → #17891761

Radix Representation

Decimal	17891724
Binary	1000100010000000110001100 (25 bits)
Octal	0o104200614
Hexadecimal	0x111018C

Divisor Catalog (24)

Collatz Trajectory (226 steps to reach 1)

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

17,891,724 8,945,862 4,472,931 13,418,794 6,709,397 20,128,192 10,064,096 5,032,048 2,516,024 1,258,012 629,006 314,503 943,510 471,755 1,415,266 707,633 2,122,900 1,061,450 530,725 1,592,176 796,088 398,044 199,022 99,511 298,534 149,267 447,802 223,901 671,704 335,852 167,926 83,963 251,890 125,945 377,836 188,918 94,459 283,378 141,689 425,068 212,534 106,267 318,802 159,401 478,204 239,102 119,551 358,654 179,327 537,982 268,991 806,974 403,487 1,210,462 605,231 1,815,694 907,847 2,723,542 1,361,771 4,085,314

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