3,254,875

5³ × 13 × 2003

3,254,875 factors as 5^3 × 13 × 2003. Its 16 positive divisors give a proper-divisor sum of 1,121,861, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 5^3 × 13 × 2003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,376,736

Proper Divisor Sum 1,121,861

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3254869 ← → #3254893

Radix Representation

Decimal	3254875
Binary	1100011010101001011011 (22 bits)
Octal	0o14325133
Hexadecimal	0x31AA5B

Divisor Catalog (16)

1 5 13 25 65 125 325 1,625 2,003 10,015 26,039 50,075 130,195 250,375 650,975 3,254,875

Collatz Trajectory (177 steps to reach 1)

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

3,254,875 9,764,626 4,882,313 14,646,940 7,323,470 3,661,735 10,985,206 5,492,603 16,477,810 8,238,905 24,716,716 12,358,358 6,179,179 18,537,538 9,268,769 27,806,308 13,903,154 6,951,577 20,854,732 10,427,366 5,213,683 15,641,050 7,820,525 23,461,576 11,730,788 5,865,394 2,932,697 8,798,092 4,399,046 2,199,523 6,598,570 3,299,285 9,897,856 4,948,928 2,474,464 1,237,232 618,616 309,308 154,654 77,327 231,982 115,991 347,974 173,987 521,962 260,981 782,944 391,472 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645

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