418,300

2² × 5² × 47 × 89

418,300 factors as 2^2 × 5^2 × 47 × 89. Its 36 positive divisors give a proper-divisor sum of 519,140, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 47 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 937,440

Proper Divisor Sum 519,140

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #418289 ← → #418303

Radix Representation

Decimal	418300
Binary	1100110000111111100 (19 bits)
Octal	0o1460774
Hexadecimal	0x661FC

Divisor Catalog (36)

1 2 4 5 10 20 25 47 50 89 94 100 178 188 235 356 445 470 890 940 1,175 1,780 2,225 2,350 4,183 4,450 4,700 8,366 8,900 16,732 20,915 41,830 83,660 104,575 209,150 418,300

Collatz Trajectory (112 steps to reach 1)

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

418,300 209,150 104,575 313,726 156,863 470,590 235,295 705,886 352,943 1,058,830 529,415 1,588,246 794,123 2,382,370 1,191,185 3,573,556 1,786,778 893,389 2,680,168 1,340,084 670,042 335,021 1,005,064 502,532 251,266 125,633 376,900 188,450 94,225 282,676 141,338 70,669 212,008 106,004 53,002 26,501 79,504 39,752 19,876 9,938 4,969 14,908 7,454 3,727 11,182 5,591 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #418,299 Browse Full Index Next Integer #418,301 →