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Atlas › Integer Profiles › Node 3,293,000

3,293,000

23 × 53 × 37 × 89
Abundant Even Composite

3,293,000 factors as 2^3 × 5^3 × 37 × 89. Its 64 positive divisors give a proper-divisor sum of 4,709,800, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 37 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,002,800
Proper Divisor Sum 4,709,800
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3292981 ← → #3293009

Radix Representation

Decimal 3293000
Binary 1100100011111101001000 (22 bits)
Octal 0o14437510
Hexadecimal 0x323F48

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 25 37 40 50 74 89 100 125 148 178 185 200 250 296 356 370 445 500 712 740 890 925 1,000 1,480 1,780 1,850 2,225 3,293 3,560 3,700 4,450 4,625 6,586 7,400 8,900 9,250 11,125 13,172 16,465 17,800 18,500 22,250 26,344 32,930 37,000 44,500 65,860 82,325 89,000 131,720 164,650 329,300 411,625

Collatz Trajectory (115 steps to reach 1)

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

3,293,000 1,646,500 823,250 411,625 1,234,876 617,438 308,719 926,158 463,079 1,389,238 694,619 2,083,858 1,041,929 3,125,788 1,562,894 781,447 2,344,342 1,172,171 3,516,514 1,758,257 5,274,772 2,637,386 1,318,693 3,956,080 1,978,040 989,020 494,510 247,255 741,766 370,883 1,112,650 556,325 1,668,976 834,488 417,244 208,622 104,311 312,934 156,467 469,402 234,701 704,104 352,052 176,026 88,013 264,040 132,020 66,010 33,005 99,016 49,508 24,754 12,377 37,132 18,566 9,283 27,850 13,925 41,776 20,888

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