260,883

3² × 7 × 41 × 101

260,883 factors as 3^2 × 7 × 41 × 101. Its 24 positive divisors give a proper-divisor sum of 184,653, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 41 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 445,536

Proper Divisor Sum 184,653

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #260879 ← → #260893

Radix Representation

Decimal	260883
Binary	111111101100010011 (18 bits)
Octal	0o775423
Hexadecimal	0x3FB13

Divisor Catalog (24)

1 3 7 9 21 41 63 101 123 287 303 369 707 861 909 2,121 2,583 4,141 6,363 12,423 28,987 37,269 86,961 260,883

Collatz Trajectory (163 steps to reach 1)

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

260,883 782,650 391,325 1,173,976 586,988 293,494 146,747 440,242 220,121 660,364 330,182 165,091 495,274 247,637 742,912 371,456 185,728 92,864 46,432 23,216 11,608 5,804 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47

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