λ
Prime Ledger

6,187,625

53 × 59 × 839
Deficient Odd Composite

6,187,625 has the prime decomposition 5^3 × 59 × 839. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 59 × 839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,862,400
Proper Divisor Sum 1,674,775
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6187607 ← → #6187633

Radix Representation

Decimal 6187625
Binary 10111100110101001101001 (23 bits)
Octal 0o27465151
Hexadecimal 0x5E6A69

Divisor Catalog (16)

1 5 25 59 125 295 839 1,475 4,195 7,375 20,975 49,501 104,875 247,505 1,237,525 6,187,625

Collatz Trajectory (227 steps to reach 1)

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

6,187,625 18,562,876 9,281,438 4,640,719 13,922,158 6,961,079 20,883,238 10,441,619 31,324,858 15,662,429 46,987,288 23,493,644 11,746,822 5,873,411 17,620,234 8,810,117 26,430,352 13,215,176 6,607,588 3,303,794 1,651,897 4,955,692 2,477,846 1,238,923 3,716,770 1,858,385 5,575,156 2,787,578 1,393,789 4,181,368 2,090,684 1,045,342 522,671 1,568,014 784,007 2,352,022 1,176,011 3,528,034 1,764,017 5,292,052 2,646,026 1,323,013 3,969,040 1,984,520 992,260 496,130 248,065 744,196 372,098 186,049 558,148 279,074 139,537 418,612 209,306 104,653 313,960 156,980 78,490 39,245

More profiles

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