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6,567,080

23 × 5 × 13 × 73 × 173
Abundant Even Composite

6,567,080 factors as 2^3 × 5 × 13 × 73 × 173. Its 64 positive divisors give a proper-divisor sum of 9,656,680, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 73 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 16,223,760
Proper Divisor Sum 9,656,680
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6567073 ← → #6567091

Radix Representation

Decimal 6567080
Binary 11001000011010010101000 (23 bits)
Octal 0o31032250
Hexadecimal 0x6434A8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 65 73 104 130 146 173 260 292 346 365 520 584 692 730 865 949 1,384 1,460 1,730 1,898 2,249 2,920 3,460 3,796 4,498 4,745 6,920 7,592 8,996 9,490 11,245 12,629 17,992 18,980 22,490 25,258 37,960 44,980 50,516 63,145 89,960 101,032 126,290 164,177 252,580 328,354 505,160 656,708 820,885

Collatz Trajectory (178 steps to reach 1)

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

6,567,080 3,283,540 1,641,770 820,885 2,462,656 1,231,328 615,664 307,832 153,916 76,958 38,479 115,438 57,719 173,158 86,579 259,738 129,869 389,608 194,804 97,402 48,701 146,104 73,052 36,526 18,263 54,790 27,395 82,186 41,093 123,280 61,640 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160

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