264,506

2 × 11² × 1093

264,506 factors as 2 × 11^2 × 1093. Its 12 positive divisors give a proper-divisor sum of 172,000, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 11^2 × 1093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 436,506

Proper Divisor Sum 172,000

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #264487 ← → #264527

Radix Representation

Decimal	264506
Binary	1000000100100111010 (19 bits)
Octal	0o1004472
Hexadecimal	0x4093A

Divisor Catalog (12)

1 2 11 22 121 242 1,093 2,186 12,023 24,046 132,253 264,506

Collatz Trajectory (145 steps to reach 1)

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

264,506 132,253 396,760 198,380 99,190 49,595 148,786 74,393 223,180 111,590 55,795 167,386 83,693 251,080 125,540 62,770 31,385 94,156 47,078 23,539 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679

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