8,427,195

3² × 5 × 7 × 31 × 863

8,427,195 has the prime decomposition 3^2 × 5 × 7 × 31 × 863. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 31 × 863

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,252,352

Proper Divisor Sum 8,825,157

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8427191 ← → #8427217

Radix Representation

Decimal	8427195
Binary	100000001001011010111011 (24 bits)
Octal	0o40113273
Hexadecimal	0x8096BB

Divisor Catalog (48)

1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 863 1,085 1,395 1,953 2,589 3,255 4,315 6,041 7,767 9,765 12,945 18,123 26,753 30,205 38,835 54,369 80,259 90,615 133,765 187,271 240,777 271,845 401,295 561,813 936,355 1,203,885 1,685,439 2,809,065 8,427,195

Collatz Trajectory (274 steps to reach 1)

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

8,427,195 25,281,586 12,640,793 37,922,380 18,961,190 9,480,595 28,441,786 14,220,893 42,662,680 21,331,340 10,665,670 5,332,835 15,998,506 7,999,253 23,997,760 11,998,880 5,999,440 2,999,720 1,499,860 749,930 374,965 1,124,896 562,448 281,224 140,612 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740

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