1,733,724

2² × 3⁴ × 5351

1,733,724 factors as 2^2 × 3^4 × 5351. Its 30 positive divisors give a proper-divisor sum of 2,799,420, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5351

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 4,533,144

Proper Divisor Sum 2,799,420

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1733723 ← → #1733729

Radix Representation

Decimal	1733724
Binary	110100111010001011100 (21 bits)
Octal	0o6472134
Hexadecimal	0x1A745C

Divisor Catalog (30)

Collatz Trajectory (189 steps to reach 1)

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

1,733,724 866,862 433,431 1,300,294 650,147 1,950,442 975,221 2,925,664 1,462,832 731,416 365,708 182,854 91,427 274,282 137,141 411,424 205,712 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835

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