λ
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5,000,346

2 × 33 × 13 × 17 × 419
Abundant Even Composite

5,000,346 factors as 2 × 3^3 × 13 × 17 × 419. Its 64 positive divisors give a proper-divisor sum of 7,700,454, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 13 × 17 × 419
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,700,800
Proper Divisor Sum 7,700,454
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5000339 ← → #5000381

Radix Representation

Decimal 5000346
Binary 10011000100110010011010 (23 bits)
Octal 0o23046232
Hexadecimal 0x4C4C9A

Divisor Catalog (60 of 64)

1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 419 442 459 663 702 838 918 1,257 1,326 1,989 2,514 3,771 3,978 5,447 5,967 7,123 7,542 10,894 11,313 11,934 14,246 16,341 21,369 22,626 32,682 42,738 49,023 64,107 92,599 98,046 128,214 147,069 185,198 192,321 277,797 294,138 384,642 555,594

Collatz Trajectory (113 steps to reach 1)

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

5,000,346 2,500,173 7,500,520 3,750,260 1,875,130 937,565 2,812,696 1,406,348 703,174 351,587 1,054,762 527,381 1,582,144 791,072 395,536 197,768 98,884 49,442 24,721 74,164 37,082 18,541 55,624 27,812 13,906 6,953 20,860 10,430 5,215 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291

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