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Atlas › Integer Profiles › Node 3,213,090

3,213,090

2 × 32 × 5 × 19 × 1879
Abundant Even Composite

3,213,090 factors as 2 × 3^2 × 5 × 19 × 1879. Its 48 positive divisors give a proper-divisor sum of 5,585,310, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 19 × 1879
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,798,400
Proper Divisor Sum 5,585,310
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3213083 ← → #3213101

Radix Representation

Decimal 3213090
Binary 1100010000011100100010 (22 bits)
Octal 0o14203442
Hexadecimal 0x310722

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1,710 1,879 3,758 5,637 9,395 11,274 16,911 18,790 28,185 33,822 35,701 56,370 71,402 84,555 107,103 169,110 178,505 214,206 321,309 357,010 535,515 642,618 1,071,030 1,606,545 3,213,090

Collatz Trajectory (146 steps to reach 1)

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

3,213,090 1,606,545 4,819,636 2,409,818 1,204,909 3,614,728 1,807,364 903,682 451,841 1,355,524 677,762 338,881 1,016,644 508,322 254,161 762,484 381,242 190,621 571,864 285,932 142,966 71,483 214,450 107,225 321,676 160,838 80,419 241,258 120,629 361,888 180,944 90,472 45,236 22,618 11,309 33,928 16,964 8,482 4,241 12,724 6,362 3,181 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410

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