λ
Integer Codex

262,961

439 × 599
Deficient Odd Composite

For 262,961, the 4 positive divisors have a total of 264,000. Removing 262,961 leaves 1,039, which gives the deficient classification.

Prime Factor Structure

Factorization String 439 × 599
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 264,000
Proper Divisor Sum 1,039
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #262957 ← → #262981

Radix Representation

Decimal 262961
Binary 1000000001100110001 (19 bits)
Octal 0o1001461
Hexadecimal 0x40331

Divisor Catalog (4)

1 439 599 262,961

Collatz Trajectory (163 steps to reach 1)

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

262,961 788,884 394,442 197,221 591,664 295,832 147,916 73,958 36,979 110,938 55,469 166,408 83,204 41,602 20,801 62,404 31,202 15,601 46,804 23,402 11,701 35,104 17,552 8,776 4,388 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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