719,946

2 × 3² × 23 × 37 × 47

719,946 factors as 2 × 3^2 × 23 × 37 × 47. Its 48 positive divisors give a proper-divisor sum of 987,318, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 37 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,707,264

Proper Divisor Sum 987,318

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #719941 ← → #719947

Radix Representation

Decimal	719946
Binary	10101111110001001010 (20 bits)
Octal	0o2576112
Hexadecimal	0xAFC4A

Divisor Catalog (48)

1 2 3 6 9 18 23 37 46 47 69 74 94 111 138 141 207 222 282 333 414 423 666 846 851 1,081 1,702 1,739 2,162 2,553 3,243 3,478 5,106 5,217 6,486 7,659 9,729 10,434 15,318 15,651 19,458 31,302 39,997 79,994 119,991 239,982 359,973 719,946

Collatz Trajectory (198 steps to reach 1)

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

719,946 359,973 1,079,920 539,960 269,980 134,990 67,495 202,486 101,243 303,730 151,865 455,596 227,798 113,899 341,698 170,849 512,548 256,274 128,137 384,412 192,206 96,103 288,310 144,155 432,466 216,233 648,700 324,350 162,175 486,526 243,263 729,790 364,895 1,094,686 547,343 1,642,030 821,015 2,463,046 1,231,523 3,694,570 1,847,285 5,541,856 2,770,928 1,385,464 692,732 346,366 173,183 519,550 259,775 779,326 389,663 1,168,990 584,495 1,753,486 876,743 2,630,230 1,315,115 3,945,346 1,972,673 5,918,020

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #719,945 Browse Full Index Next Integer #719,947 →