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778,941

32 × 23 × 53 × 71
Deficient Odd Composite

778,941 factors as 3^2 × 23 × 53 × 71. Its 24 positive divisors give a proper-divisor sum of 434,115, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 53 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,213,056
Proper Divisor Sum 434,115
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #778933 ← → #778951

Radix Representation

Decimal 778941
Binary 10111110001010111101 (20 bits)
Octal 0o2761275
Hexadecimal 0xBE2BD

Divisor Catalog (24)

1 3 9 23 53 69 71 159 207 213 477 639 1,219 1,633 3,657 3,763 4,899 10,971 11,289 14,697 33,867 86,549 259,647 778,941

Collatz Trajectory (149 steps to reach 1)

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

778,941 2,336,824 1,168,412 584,206 292,103 876,310 438,155 1,314,466 657,233 1,971,700 985,850 492,925 1,478,776 739,388 369,694 184,847 554,542 277,271 831,814 415,907 1,247,722 623,861 1,871,584 935,792 467,896 233,948 116,974 58,487 175,462 87,731 263,194 131,597 394,792 197,396 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 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

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