λ
Math Directory

6,178,310

2 × 5 × 17 × 36343
Deficient Even Composite

6,178,310 factors as 2 × 5 × 17 × 36343. Its 16 positive divisors give a proper-divisor sum of 5,597,146, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 36343
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,775,456
Proper Divisor Sum 5,597,146
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6178309 ← → #6178313

Radix Representation

Decimal 6178310
Binary 10111100100011000000110 (23 bits)
Octal 0o27443006
Hexadecimal 0x5E4606

Divisor Catalog (16)

1 2 5 10 17 34 85 170 36,343 72,686 181,715 363,430 617,831 1,235,662 3,089,155 6,178,310

Collatz Trajectory (165 steps to reach 1)

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

6,178,310 3,089,155 9,267,466 4,633,733 13,901,200 6,950,600 3,475,300 1,737,650 868,825 2,606,476 1,303,238 651,619 1,954,858 977,429 2,932,288 1,466,144 733,072 366,536 183,268 91,634 45,817 137,452 68,726 34,363 103,090 51,545 154,636 77,318 38,659 115,978 57,989 173,968 86,984 43,492 21,746 10,873 32,620 16,310 8,155 24,466 12,233 36,700 18,350 9,175 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742 3,871 11,614 5,807 17,422 8,711 26,134 13,067 39,202

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