λ
Math Directory

325,013

13 × 23 × 1087
Deficient Odd Composite

325,013 factors as 13 × 23 × 1087. Its 8 positive divisors give a proper-divisor sum of 40,555, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 13 × 23 × 1087
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 365,568
Proper Divisor Sum 40,555
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #325009 ← → #325019

Radix Representation

Decimal 325013
Binary 1001111010110010101 (19 bits)
Octal 0o1172625
Hexadecimal 0x4F595

Divisor Catalog (8)

1 13 23 299 1,087 14,131 25,001 325,013

Collatz Trajectory (184 steps to reach 1)

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

325,013 975,040 487,520 243,760 121,880 60,940 30,470 15,235 45,706 22,853 68,560 34,280 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 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

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