778,809

3 × 259603

778,809 factors as 3 × 259603. Its 4 positive divisors give a proper-divisor sum of 259,607, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3 × 259603

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,038,416

Proper Divisor Sum 259,607

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #778793 ← → #778819

Radix Representation

Decimal	778809
Binary	10111110001000111001 (20 bits)
Octal	0o2761071
Hexadecimal	0xBE239

Divisor Catalog (4)

1 3 259,603 778,809

Collatz Trajectory (154 steps to reach 1)

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

778,809 2,336,428 1,168,214 584,107 1,752,322 876,161 2,628,484 1,314,242 657,121 1,971,364 985,682 492,841 1,478,524 739,262 369,631 1,108,894 554,447 1,663,342 831,671 2,495,014 1,247,507 3,742,522 1,871,261 5,613,784 2,806,892 1,403,446 701,723 2,105,170 1,052,585 3,157,756 1,578,878 789,439 2,368,318 1,184,159 3,552,478 1,776,239 5,328,718 2,664,359 7,993,078 3,996,539 11,989,618 5,994,809 17,984,428 8,992,214 4,496,107 13,488,322 6,744,161 20,232,484 10,116,242 5,058,121 15,174,364 7,587,182 3,793,591 11,380,774 5,690,387 17,071,162 8,535,581 25,606,744 12,803,372 6,401,686

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