λ
Integer Codex

771,797

13 × 59369
Deficient Odd Composite

For 771,797, the 4 positive divisors have a total of 831,180. Removing 771,797 leaves 59,383, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 59369
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 831,180
Proper Divisor Sum 59,383
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #771781 ← → #771809

Radix Representation

Decimal 771797
Binary 10111100011011010101 (20 bits)
Octal 0o2743325
Hexadecimal 0xBC6D5

Divisor Catalog (4)

1 13 59,369 771,797

Collatz Trajectory (193 steps to reach 1)

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

771,797 2,315,392 1,157,696 578,848 289,424 144,712 72,356 36,178 18,089 54,268 27,134 13,567 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464 347,732 173,866 86,933 260,800 130,400 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898

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