259,665

3 × 5 × 7 × 2473

259,665 factors as 3 × 5 × 7 × 2473. Its 16 positive divisors give a proper-divisor sum of 215,343, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 2473

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 475,008

Proper Divisor Sum 215,343

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #259657 ← → #259667

Radix Representation

Decimal	259665
Binary	111111011001010001 (18 bits)
Octal	0o773121
Hexadecimal	0x3F651

Divisor Catalog (16)

1 3 5 7 15 21 35 105 2,473 7,419 12,365 17,311 37,095 51,933 86,555 259,665

Collatz Trajectory (194 steps to reach 1)

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

259,665 778,996 389,498 194,749 584,248 292,124 146,062 73,031 219,094 109,547 328,642 164,321 492,964 246,482 123,241 369,724 184,862 92,431 277,294 138,647 415,942 207,971 623,914 311,957 935,872 467,936 233,968 116,984 58,492 29,246 14,623 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100 111,050 55,525 166,576 83,288 41,644 20,822 10,411 31,234 15,617 46,852 23,426 11,713 35,140 17,570 8,785 26,356 13,178 6,589 19,768 9,884

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