λ
Integer Codex

262,807

262807
Deficient Odd Prime

For 262,807, the 2 positive divisors have a total of 262,808. Removing 262,807 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 262807
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 262,808
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #262783 ← → #262819

Radix Representation

Decimal 262807
Binary 1000000001010010111 (19 bits)
Octal 0o1001227
Hexadecimal 0x40297

Divisor Catalog (2)

Collatz Trajectory (163 steps to reach 1)

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

262,807 788,422 394,211 1,182,634 591,317 1,773,952 886,976 443,488 221,744 110,872 55,436 27,718 13,859 41,578 20,789 62,368 31,184 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47

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