776,691

3² × 211 × 409

776,691 factors as 3^2 × 211 × 409. Its 12 positive divisors give a proper-divisor sum of 353,269, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 3^2 × 211 × 409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,129,960

Proper Divisor Sum 353,269

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #776683 ← → #776693

Radix Representation

Decimal	776691
Binary	10111101100111110011 (20 bits)
Octal	0o2754763
Hexadecimal	0xBD9F3

Divisor Catalog (12)

1 3 9 211 409 633 1,227 1,899 3,681 86,299 258,897 776,691

Collatz Trajectory (268 steps to reach 1)

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

776,691 2,330,074 1,165,037 3,495,112 1,747,556 873,778 436,889 1,310,668 655,334 327,667 983,002 491,501 1,474,504 737,252 368,626 184,313 552,940 276,470 138,235 414,706 207,353 622,060 311,030 155,515 466,546 233,273 699,820 349,910 174,955 524,866 262,433 787,300 393,650 196,825 590,476 295,238 147,619 442,858 221,429 664,288 332,144 166,072 83,036 41,518 20,759 62,278 31,139 93,418 46,709 140,128 70,064 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #776,690 Browse Full Index Next Integer #776,692 →