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Atlas › Integer Profiles › Node 6,495,080

6,495,080

23 × 5 × 71 × 2287
Abundant Even Composite

6,495,080 factors as 2^3 × 5 × 71 × 2287. Its 32 positive divisors give a proper-divisor sum of 8,331,160, so this integer is abundant. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 71 × 2287
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,826,240
Proper Divisor Sum 8,331,160
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6495079 ← → #6495103

Radix Representation

Decimal 6495080
Binary 11000110001101101101000 (23 bits)
Octal 0o30615550
Hexadecimal 0x631B68

Divisor Catalog (32)

1 2 4 5 8 10 20 40 71 142 284 355 568 710 1,420 2,287 2,840 4,574 9,148 11,435 18,296 22,870 45,740 91,480 162,377 324,754 649,508 811,885 1,299,016 1,623,770 3,247,540 6,495,080

Collatz Trajectory (209 steps to reach 1)

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

6,495,080 3,247,540 1,623,770 811,885 2,435,656 1,217,828 608,914 304,457 913,372 456,686 228,343 685,030 342,515 1,027,546 513,773 1,541,320 770,660 385,330 192,665 577,996 288,998 144,499 433,498 216,749 650,248 325,124 162,562 81,281 243,844 121,922 60,961 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145

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