λ
Integer Codex

683,071

683071
Deficient Odd Prime

For 683,071, the 2 positive divisors have a total of 683,072. Removing 683,071 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 683071
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 683,072
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #683047 ← → #683083

Radix Representation

Decimal 683071
Binary 10100110110000111111 (20 bits)
Octal 0o2466077
Hexadecimal 0xA6C3F

Divisor Catalog (2)

Collatz Trajectory (198 steps to reach 1)

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

683,071 2,049,214 1,024,607 3,073,822 1,536,911 4,610,734 2,305,367 6,916,102 3,458,051 10,374,154 5,187,077 15,561,232 7,780,616 3,890,308 1,945,154 972,577 2,917,732 1,458,866 729,433 2,188,300 1,094,150 547,075 1,641,226 820,613 2,461,840 1,230,920 615,460 307,730 153,865 461,596 230,798 115,399 346,198 173,099 519,298 259,649 778,948 389,474 194,737 584,212 292,106 146,053 438,160 219,080 109,540 54,770 27,385 82,156 41,078 20,539 61,618 30,809 92,428 46,214 23,107 69,322 34,661 103,984 51,992 25,996

More profiles

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