2,765,751

3 × 73² × 173

2,765,751 factors as 3 × 73^2 × 173. Its 12 positive divisors give a proper-divisor sum of 994,737, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 3 × 73^2 × 173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,760,488

Proper Divisor Sum 994,737

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2765731 ← → #2765753

Radix Representation

Decimal	2765751
Binary	1010100011001110110111 (22 bits)
Octal	0o12431667
Hexadecimal	0x2A33B7

Divisor Catalog (12)

1 3 73 173 219 519 5,329 12,629 15,987 37,887 921,917 2,765,751

Collatz Trajectory (169 steps to reach 1)

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

2,765,751 8,297,254 4,148,627 12,445,882 6,222,941 18,668,824 9,334,412 4,667,206 2,333,603 7,000,810 3,500,405 10,501,216 5,250,608 2,625,304 1,312,652 656,326 328,163 984,490 492,245 1,476,736 738,368 369,184 184,592 92,296 46,148 23,074 11,537 34,612 17,306 8,653 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,765,750 Browse Full Index Next Integer #2,765,752 →