774,669

3 × 7 × 37 × 997

774,669 factors as 3 × 7 × 37 × 997. Its 16 positive divisors give a proper-divisor sum of 438,899, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 7 × 37 × 997

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,213,568

Proper Divisor Sum 438,899

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #774667 ← → #774671

Radix Representation

Decimal	774669
Binary	10111101001000001101 (20 bits)
Octal	0o2751015
Hexadecimal	0xBD20D

Divisor Catalog (16)

1 3 7 21 37 111 259 777 997 2,991 6,979 20,937 36,889 110,667 258,223 774,669

Collatz Trajectory (193 steps to reach 1)

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

774,669 2,324,008 1,162,004 581,002 290,501 871,504 435,752 217,876 108,938 54,469 163,408 81,704 40,852 20,426 10,213 30,640 15,320 7,660 3,830 1,915 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #774,668 Browse Full Index Next Integer #774,670 →