λ
Sigma Notebook

5,256,162

2 × 32 × 17 × 89 × 193
Abundant Even Composite

5,256,162 is even and not a perfect square. Its factorization is 2 × 3^2 × 17 × 89 × 193 and its 48 divisors sum to 12,256,920.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 89 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,256,920
Proper Divisor Sum 7,000,758
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5256137 ← → #5256197

Radix Representation

Decimal 5256162
Binary 10100000011001111100010 (23 bits)
Octal 0o24031742
Hexadecimal 0x5033E2

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 89 102 153 178 193 267 306 386 534 579 801 1,158 1,513 1,602 1,737 3,026 3,281 3,474 4,539 6,562 9,078 9,843 13,617 17,177 19,686 27,234 29,529 34,354 51,531 59,058 103,062 154,593 292,009 309,186 584,018 876,027 1,752,054 2,628,081 5,256,162

Collatz Trajectory (69 steps to reach 1)

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

5,256,162 2,628,081 7,884,244 3,942,122 1,971,061 5,913,184 2,956,592 1,478,296 739,148 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160

More profiles

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