λ
Sigma Notebook

263,990

2 × 5 × 26399
Deficient Even Composite

263,990 is even and not a perfect square. Its factorization is 2 × 5 × 26399 and its 8 divisors sum to 475,200.

Prime Factor Structure

Factorization String 2 × 5 × 26399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 475,200
Proper Divisor Sum 211,210
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #263983 ← → #264007

Radix Representation

Decimal 263990
Binary 1000000011100110110 (19 bits)
Octal 0o1003466
Hexadecimal 0x40736

Divisor Catalog (8)

1 2 5 10 26,399 52,798 131,995 263,990

Collatz Trajectory (70 steps to reach 1)

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

263,990 131,995 395,986 197,993 593,980 296,990 148,495 445,486 222,743 668,230 334,115 1,002,346 501,173 1,503,520 751,760 375,880 187,940 93,970 46,985 140,956 70,478 35,239 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52

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