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3,249,486

2 × 32 × 23 × 47 × 167
Abundant Even Composite

3,249,486 factors as 2 × 3^2 × 23 × 47 × 167. Its 48 positive divisors give a proper-divisor sum of 4,298,418, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 47 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,547,904
Proper Divisor Sum 4,298,418
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3249481 ← → #3249497

Radix Representation

Decimal 3249486
Binary 1100011001010101001110 (22 bits)
Octal 0o14312516
Hexadecimal 0x31954E

Divisor Catalog (48)

1 2 3 6 9 18 23 46 47 69 94 138 141 167 207 282 334 414 423 501 846 1,002 1,081 1,503 2,162 3,006 3,243 3,841 6,486 7,682 7,849 9,729 11,523 15,698 19,458 23,046 23,547 34,569 47,094 69,138 70,641 141,282 180,527 361,054 541,581 1,083,162 1,624,743 3,249,486

Collatz Trajectory (102 steps to reach 1)

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

3,249,486 1,624,743 4,874,230 2,437,115 7,311,346 3,655,673 10,967,020 5,483,510 2,741,755 8,225,266 4,112,633 12,337,900 6,168,950 3,084,475 9,253,426 4,626,713 13,880,140 6,940,070 3,470,035 10,410,106 5,205,053 15,615,160 7,807,580 3,903,790 1,951,895 5,855,686 2,927,843 8,783,530 4,391,765 13,175,296 6,587,648 3,293,824 1,646,912 823,456 411,728 205,864 102,932 51,466 25,733 77,200 38,600 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574

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