623,214

2 × 3⁴ × 3847

623,214 factors as 2 × 3^4 × 3847. Its 20 positive divisors give a proper-divisor sum of 773,610, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 3847

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,396,824

Proper Divisor Sum 773,610

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #623209 ← → #623221

Radix Representation

Decimal	623214
Binary	10011000001001101110 (20 bits)
Octal	0o2301156
Hexadecimal	0x9826E

Divisor Catalog (20)

Collatz Trajectory (247 steps to reach 1)

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

623,214 311,607 934,822 467,411 1,402,234 701,117 2,103,352 1,051,676 525,838 262,919 788,758 394,379 1,183,138 591,569 1,774,708 887,354 443,677 1,331,032 665,516 332,758 166,379 499,138 249,569 748,708 374,354 187,177 561,532 280,766 140,383 421,150 210,575 631,726 315,863 947,590 473,795 1,421,386 710,693 2,132,080 1,066,040 533,020 266,510 133,255 399,766 199,883 599,650 299,825 899,476 449,738 224,869 674,608 337,304 168,652 84,326 42,163 126,490 63,245 189,736 94,868 47,434 23,717

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