λ
Integer Codex

778,097

778097
Deficient Odd Prime

For 778,097, the 2 positive divisors have a total of 778,098. Removing 778,097 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 778097
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 778,098
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #778091 ← → #778109

Radix Representation

Decimal 778097
Binary 10111101111101110001 (20 bits)
Octal 0o2757561
Hexadecimal 0xBDF71

Divisor Catalog (2)

Collatz Trajectory (131 steps to reach 1)

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

778,097 2,334,292 1,167,146 583,573 1,750,720 875,360 437,680 218,840 109,420 54,710 27,355 82,066 41,033 123,100 61,550 30,775 92,326 46,163 138,490 69,245 207,736 103,868 51,934 25,967 77,902 38,951 116,854 58,427 175,282 87,641 262,924 131,462 65,731 197,194 98,597 295,792 147,896 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396 31,198 15,599 46,798 23,399 70,198 35,099 105,298 52,649 157,948 78,974 39,487 118,462 59,231 177,694

More profiles

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