393,324

2² × 3 × 73 × 449

393,324 factors as 2^2 × 3 × 73 × 449. Its 24 positive divisors give a proper-divisor sum of 539,076, so this integer is abundant. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 73 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 932,400

Proper Divisor Sum 539,076

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #393311 ← → #393331

Radix Representation

Decimal	393324
Binary	1100000000001101100 (19 bits)
Octal	0o1400154
Hexadecimal	0x6006C

Divisor Catalog (24)

1 2 3 4 6 12 73 146 219 292 438 449 876 898 1,347 1,796 2,694 5,388 32,777 65,554 98,331 131,108 196,662 393,324

Collatz Trajectory (73 steps to reach 1)

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

393,324 196,662 98,331 294,994 147,497 442,492 221,246 110,623 331,870 165,935 497,806 248,903 746,710 373,355 1,120,066 560,033 1,680,100 840,050 420,025 1,260,076 630,038 315,019 945,058 472,529 1,417,588 708,794 354,397 1,063,192 531,596 265,798 132,899 398,698 199,349 598,048 299,024 149,512 74,756 37,378 18,689 56,068 28,034 14,017 42,052 21,026 10,513 31,540 15,770 7,885 23,656 11,828 5,914 2,957 8,872 4,436 2,218 1,109 3,328 1,664 832 416

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #393,323 Browse Full Index Next Integer #393,325 →