λ
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Atlas › Integer Profiles › Node 3,214,482

3,214,482

2 × 3 × 41 × 73 × 179
Abundant Even Composite

3,214,482 factors as 2 × 3 × 41 × 73 × 179. Its 32 positive divisors give a proper-divisor sum of 3,498,798, so this integer is abundant. The Collatz stopping time is 270 steps.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 73 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,713,280
Proper Divisor Sum 3,498,798
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3214481 ← → #3214487

Radix Representation

Decimal 3214482
Binary 1100010000110010010010 (22 bits)
Octal 0o14206222
Hexadecimal 0x310C92

Divisor Catalog (32)

1 2 3 6 41 73 82 123 146 179 219 246 358 438 537 1,074 2,993 5,986 7,339 8,979 13,067 14,678 17,958 22,017 26,134 39,201 44,034 78,402 535,747 1,071,494 1,607,241 3,214,482

Collatz Trajectory (270 steps to reach 1)

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

3,214,482 1,607,241 4,821,724 2,410,862 1,205,431 3,616,294 1,808,147 5,424,442 2,712,221 8,136,664 4,068,332 2,034,166 1,017,083 3,051,250 1,525,625 4,576,876 2,288,438 1,144,219 3,432,658 1,716,329 5,148,988 2,574,494 1,287,247 3,861,742 1,930,871 5,792,614 2,896,307 8,688,922 4,344,461 13,033,384 6,516,692 3,258,346 1,629,173 4,887,520 2,443,760 1,221,880 610,940 305,470 152,735 458,206 229,103 687,310 343,655 1,030,966 515,483 1,546,450 773,225 2,319,676 1,159,838 579,919 1,739,758 869,879 2,609,638 1,304,819 3,914,458 1,957,229 5,871,688 2,935,844 1,467,922 733,961

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