8,540,980

2² × 5 × 7 × 61007

8,540,980 factors as 2^2 × 5 × 7 × 61007. Its 24 positive divisors give a proper-divisor sum of 11,957,708, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 61007

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,498,688

Proper Divisor Sum 11,957,708

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8540977 ← → #8540989

Radix Representation

Decimal	8540980
Binary	100000100101001100110100 (24 bits)
Octal	0o40451464
Hexadecimal	0x825334

Divisor Catalog (24)

Collatz Trajectory (168 steps to reach 1)

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

8,540,980 4,270,490 2,135,245 6,405,736 3,202,868 1,601,434 800,717 2,402,152 1,201,076 600,538 300,269 900,808 450,404 225,202 112,601 337,804 168,902 84,451 253,354 126,677 380,032 190,016 95,008 47,504 23,752 11,876 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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