8,518,340

2² × 5 × 101 × 4217

8,518,340 factors as 2^2 × 5 × 101 × 4217. Its 24 positive divisors give a proper-divisor sum of 9,551,572, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 101 × 4217

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,069,912

Proper Divisor Sum 9,551,572

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8518339 ← → #8518351

Radix Representation

Decimal	8518340
Binary	100000011111101011000100 (24 bits)
Octal	0o40375304
Hexadecimal	0x81FAC4

Divisor Catalog (24)

1 2 4 5 10 20 101 202 404 505 1,010 2,020 4,217 8,434 16,868 21,085 42,170 84,340 425,917 851,834 1,703,668 2,129,585 4,259,170 8,518,340

Collatz Trajectory (106 steps to reach 1)

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

8,518,340 4,259,170 2,129,585 6,388,756 3,194,378 1,597,189 4,791,568 2,395,784 1,197,892 598,946 299,473 898,420 449,210 224,605 673,816 336,908 168,454 84,227 252,682 126,341 379,024 189,512 94,756 47,378 23,689 71,068 35,534 17,767 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793 455,380 227,690 113,845 341,536 170,768 85,384 42,692 21,346 10,673 32,020 16,010 8,005 24,016 12,008 6,004 3,002 1,501

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