λ
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3,487,330

2 × 5 × 72 × 11 × 647
Abundant Even Composite

3,487,330 factors as 2 × 5 × 7^2 × 11 × 647. Its 48 positive divisors give a proper-divisor sum of 4,490,846, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 11 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,978,176
Proper Divisor Sum 4,490,846
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3487321 ← → #3487331

Radix Representation

Decimal 3487330
Binary 1101010011011001100010 (22 bits)
Octal 0o15233142
Hexadecimal 0x353662

Divisor Catalog (48)

1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 647 770 1,078 1,294 2,695 3,235 4,529 5,390 6,470 7,117 9,058 14,234 22,645 31,703 35,585 45,290 49,819 63,406 71,170 99,638 158,515 249,095 317,030 348,733 498,190 697,466 1,743,665 3,487,330

Collatz Trajectory (159 steps to reach 1)

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

3,487,330 1,743,665 5,230,996 2,615,498 1,307,749 3,923,248 1,961,624 980,812 490,406 245,203 735,610 367,805 1,103,416 551,708 275,854 137,927 413,782 206,891 620,674 310,337 931,012 465,506 232,753 698,260 349,130 174,565 523,696 261,848 130,924 65,462 32,731 98,194 49,097 147,292 73,646 36,823 110,470 55,235 165,706 82,853 248,560 124,280 62,140 31,070 15,535 46,606 23,303 69,910 34,955 104,866 52,433 157,300 78,650 39,325 117,976 58,988 29,494 14,747 44,242 22,121

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