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Atlas › Integer Profiles › Node 3,671,028

3,671,028

22 × 33 × 19 × 1789
Abundant Even Composite

3,671,028 factors as 2^2 × 3^3 × 19 × 1789. Its 48 positive divisors give a proper-divisor sum of 6,352,972, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 19 × 1789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,024,000
Proper Divisor Sum 6,352,972
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3671027 ← → #3671069

Radix Representation

Decimal 3671028
Binary 1110000000001111110100 (22 bits)
Octal 0o16001764
Hexadecimal 0x3803F4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1,026 1,789 2,052 3,578 5,367 7,156 10,734 16,101 21,468 32,202 33,991 48,303 64,404 67,982 96,606 101,973 135,964 193,212 203,946 305,919 407,892 611,838 917,757 1,223,676 1,835,514 3,671,028

Collatz Trajectory (203 steps to reach 1)

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

3,671,028 1,835,514 917,757 2,753,272 1,376,636 688,318 344,159 1,032,478 516,239 1,548,718 774,359 2,323,078 1,161,539 3,484,618 1,742,309 5,226,928 2,613,464 1,306,732 653,366 326,683 980,050 490,025 1,470,076 735,038 367,519 1,102,558 551,279 1,653,838 826,919 2,480,758 1,240,379 3,721,138 1,860,569 5,581,708 2,790,854 1,395,427 4,186,282 2,093,141 6,279,424 3,139,712 1,569,856 784,928 392,464 196,232 98,116 49,058 24,529 73,588 36,794 18,397 55,192 27,596 13,798 6,899 20,698 10,349 31,048 15,524 7,762 3,881

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