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Atlas › Integer Profiles › Node 8,993,348

8,993,348

22 × 7 × 13 × 31 × 797
Abundant Even Composite

8,993,348 factors as 2^2 × 7 × 13 × 31 × 797. Its 48 positive divisors give a proper-divisor sum of 11,026,876, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 31 × 797
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,020,224
Proper Divisor Sum 11,026,876
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8993333 ← → #8993351

Radix Representation

Decimal 8993348
Binary 100010010011101001000100 (24 bits)
Octal 0o42235104
Hexadecimal 0x893A44

Divisor Catalog (48)

1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 797 806 868 1,594 1,612 2,821 3,188 5,579 5,642 10,361 11,158 11,284 20,722 22,316 24,707 41,444 49,414 72,527 98,828 145,054 172,949 290,108 321,191 345,898 642,382 691,796 1,284,764 2,248,337 4,496,674 8,993,348

Collatz Trajectory (137 steps to reach 1)

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

8,993,348 4,496,674 2,248,337 6,745,012 3,372,506 1,686,253 5,058,760 2,529,380 1,264,690 632,345 1,897,036 948,518 474,259 1,422,778 711,389 2,134,168 1,067,084 533,542 266,771 800,314 400,157 1,200,472 600,236 300,118 150,059 450,178 225,089 675,268 337,634 168,817 506,452 253,226 126,613 379,840 189,920 94,960 47,480 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585

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