778,808

2³ × 67 × 1453

778,808 factors as 2^3 × 67 × 1453. Its 16 positive divisors give a proper-divisor sum of 704,272, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 67 × 1453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,483,080

Proper Divisor Sum 704,272

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #778793 ← → #778819

Radix Representation

Decimal	778808
Binary	10111110001000111000 (20 bits)
Octal	0o2761070
Hexadecimal	0xBE238

Divisor Catalog (16)

1 2 4 8 67 134 268 536 1,453 2,906 5,812 11,624 97,351 194,702 389,404 778,808

Collatz Trajectory (149 steps to reach 1)

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

778,808 389,404 194,702 97,351 292,054 146,027 438,082 219,041 657,124 328,562 164,281 492,844 246,422 123,211 369,634 184,817 554,452 277,226 138,613 415,840 207,920 103,960 51,980 25,990 12,995 38,986 19,493 58,480 29,240 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #778,807 Browse Full Index Next Integer #778,809 →