6,567,640

2³ × 5 × 164191

6,567,640 factors as 2^3 × 5 × 164191. Its 16 positive divisors give a proper-divisor sum of 8,209,640, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 164191

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,777,280

Proper Divisor Sum 8,209,640

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6567607 ← → #6567641

Radix Representation

Decimal	6567640
Binary	11001000011011011011000 (23 bits)
Octal	0o31033330
Hexadecimal	0x6436D8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 164,191 328,382 656,764 820,955 1,313,528 1,641,910 3,283,820 6,567,640

Collatz Trajectory (178 steps to reach 1)

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

6,567,640 3,283,820 1,641,910 820,955 2,462,866 1,231,433 3,694,300 1,847,150 923,575 2,770,726 1,385,363 4,156,090 2,078,045 6,234,136 3,117,068 1,558,534 779,267 2,337,802 1,168,901 3,506,704 1,753,352 876,676 438,338 219,169 657,508 328,754 164,377 493,132 246,566 123,283 369,850 184,925 554,776 277,388 138,694 69,347 208,042 104,021 312,064 156,032 78,016 39,008 19,504 9,752 4,876 2,438 1,219 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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