λ
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5,118,024

23 × 3 × 107 × 1993
Abundant Even Composite

5,118,024 factors as 2^3 × 3 × 107 × 1993. Its 32 positive divisors give a proper-divisor sum of 7,803,096, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 107 × 1993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,921,120
Proper Divisor Sum 7,803,096
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5118023 ← → #5118031

Radix Representation

Decimal 5118024
Binary 10011100001100001001000 (23 bits)
Octal 0o23414110
Hexadecimal 0x4E1848

Divisor Catalog (32)

1 2 3 4 6 8 12 24 107 214 321 428 642 856 1,284 1,993 2,568 3,986 5,979 7,972 11,958 15,944 23,916 47,832 213,251 426,502 639,753 853,004 1,279,506 1,706,008 2,559,012 5,118,024

Collatz Trajectory (82 steps to reach 1)

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

5,118,024 2,559,012 1,279,506 639,753 1,919,260 959,630 479,815 1,439,446 719,723 2,159,170 1,079,585 3,238,756 1,619,378 809,689 2,429,068 1,214,534 607,267 1,821,802 910,901 2,732,704 1,366,352 683,176 341,588 170,794 85,397 256,192 128,096 64,048 32,024 16,012 8,006 4,003 12,010 6,005 18,016 9,008 4,504 2,252 1,126 563 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152

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