106,215

3 × 5 × 73 × 97

106,215 has the prime decomposition 3 × 5 × 73 × 97. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 73 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 174,048

Proper Divisor Sum 67,833

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #106213 ← → #106217

Radix Representation

Decimal	106215
Binary	11001111011100111 (17 bits)
Octal	0o317347
Hexadecimal	0x19EE7

Divisor Catalog (16)

1 3 5 15 73 97 219 291 365 485 1,095 1,455 7,081 21,243 35,405 106,215

Collatz Trajectory (172 steps to reach 1)

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

106,215 318,646 159,323 477,970 238,985 716,956 358,478 179,239 537,718 268,859 806,578 403,289 1,209,868 604,934 302,467 907,402 453,701 1,361,104 680,552 340,276 170,138 85,069 255,208 127,604 63,802 31,901 95,704 47,852 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048

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