λ
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3,230,360

23 × 5 × 7 × 83 × 139
Abundant Even Composite

3,230,360 factors as 2^3 × 5 × 7 × 83 × 139. Its 64 positive divisors give a proper-divisor sum of 5,236,840, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 83 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,467,200
Proper Divisor Sum 5,236,840
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3230347 ← → #3230363

Radix Representation

Decimal 3230360
Binary 1100010100101010011000 (22 bits)
Octal 0o14245230
Hexadecimal 0x314A98

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 139 140 166 278 280 332 415 556 581 664 695 830 973 1,112 1,162 1,390 1,660 1,946 2,324 2,780 2,905 3,320 3,892 4,648 4,865 5,560 5,810 7,784 9,730 11,537 11,620 19,460 23,074 23,240 38,920 46,148 57,685 80,759 92,296 115,370 161,518 230,740 323,036 403,795 461,480

Collatz Trajectory (208 steps to reach 1)

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

3,230,360 1,615,180 807,590 403,795 1,211,386 605,693 1,817,080 908,540 454,270 227,135 681,406 340,703 1,022,110 511,055 1,533,166 766,583 2,299,750 1,149,875 3,449,626 1,724,813 5,174,440 2,587,220 1,293,610 646,805 1,940,416 970,208 485,104 242,552 121,276 60,638 30,319 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322 13,661 40,984 20,492

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