λ
Prime Ledger

8,974,926

2 × 32 × 197 × 2531
Abundant Even Composite

8,974,926 has the prime decomposition 2 × 3^2 × 197 × 2531. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 197 × 2531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,552,104
Proper Divisor Sum 10,577,178
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8974913 ← → #8974937

Radix Representation

Decimal 8974926
Binary 100010001111001001001110 (24 bits)
Octal 0o42171116
Hexadecimal 0x88F24E

Divisor Catalog (24)

1 2 3 6 9 18 197 394 591 1,182 1,773 2,531 3,546 5,062 7,593 15,186 22,779 45,558 498,607 997,214 1,495,821 2,991,642 4,487,463 8,974,926

Collatz Trajectory (111 steps to reach 1)

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

8,974,926 4,487,463 13,462,390 6,731,195 20,193,586 10,096,793 30,290,380 15,145,190 7,572,595 22,717,786 11,358,893 34,076,680 17,038,340 8,519,170 4,259,585 12,778,756 6,389,378 3,194,689 9,584,068 4,792,034 2,396,017 7,188,052 3,594,026 1,797,013 5,391,040 2,695,520 1,347,760 673,880 336,940 168,470 84,235 252,706 126,353 379,060 189,530 94,765 284,296 142,148 71,074 35,537 106,612 53,306 26,653 79,960 39,980 19,990 9,995 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490

More profiles

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