λ
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Atlas › Integer Profiles › Node 3,230,396

3,230,396

22 × 13 × 23 × 37 × 73
Abundant Even Composite

3,230,396 factors as 2^2 × 13 × 23 × 37 × 73. Its 48 positive divisors give a proper-divisor sum of 3,383,428, so this integer is abundant. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 23 × 37 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,613,824
Proper Divisor Sum 3,383,428
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3230393 ← → #3230401

Radix Representation

Decimal 3230396
Binary 1100010100101010111100 (22 bits)
Octal 0o14245274
Hexadecimal 0x314ABC

Divisor Catalog (48)

1 2 4 13 23 26 37 46 52 73 74 92 146 148 292 299 481 598 851 949 962 1,196 1,679 1,702 1,898 1,924 2,701 3,358 3,404 3,796 5,402 6,716 10,804 11,063 21,827 22,126 35,113 43,654 44,252 62,123 70,226 87,308 124,246 140,452 248,492 807,599 1,615,198 3,230,396

Collatz Trajectory (239 steps to reach 1)

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

3,230,396 1,615,198 807,599 2,422,798 1,211,399 3,634,198 1,817,099 5,451,298 2,725,649 8,176,948 4,088,474 2,044,237 6,132,712 3,066,356 1,533,178 766,589 2,299,768 1,149,884 574,942 287,471 862,414 431,207 1,293,622 646,811 1,940,434 970,217 2,910,652 1,455,326 727,663 2,182,990 1,091,495 3,274,486 1,637,243 4,911,730 2,455,865 7,367,596 3,683,798 1,841,899 5,525,698 2,762,849 8,288,548 4,144,274 2,072,137 6,216,412 3,108,206 1,554,103 4,662,310 2,331,155 6,993,466 3,496,733 10,490,200 5,245,100 2,622,550 1,311,275 3,933,826 1,966,913 5,900,740 2,950,370 1,475,185 4,425,556

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