218,096

2⁴ × 43 × 317

218,096 is even and not a perfect square. Its factorization is 2^4 × 43 × 317 and its 20 divisors sum to 433,752.

Prime Factor Structure

Factorization String 2^4 × 43 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 433,752

Proper Divisor Sum 215,656

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #218087 ← → #218107

Radix Representation

Decimal	218096
Binary	110101001111110000 (18 bits)
Octal	0o651760
Hexadecimal	0x353F0

Divisor Catalog (20)

1 2 4 8 16 43 86 172 317 344 634 688 1,268 2,536 5,072 13,631 27,262 54,524 109,048 218,096

Collatz Trajectory (186 steps to reach 1)

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

218,096 109,048 54,524 27,262 13,631 40,894 20,447 61,342 30,671 92,014 46,007 138,022 69,011 207,034 103,517 310,552 155,276 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823

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