5,271,167

11 × 227 × 2111

Starting at 5,271,167, the Collatz iteration reaches 1 after 325 steps. The first transition is 15813502; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 227 × 2111

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,778,432

Proper Divisor Sum 507,265

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5271157 ← → #5271169

Radix Representation

Decimal	5271167
Binary	10100000110111001111111 (23 bits)
Octal	0o24067177
Hexadecimal	0x506E7F

Divisor Catalog (8)

1 11 227 2,111 2,497 23,221 479,197 5,271,167

Collatz Trajectory (325 steps to reach 1)

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

5,271,167 15,813,502 7,906,751 23,720,254 11,860,127 35,580,382 17,790,191 53,370,574 26,685,287 80,055,862 40,027,931 120,083,794 60,041,897 180,125,692 90,062,846 45,031,423 135,094,270 67,547,135 202,641,406 101,320,703 303,962,110 151,981,055 455,943,166 227,971,583 683,914,750 341,957,375 1,025,872,126 512,936,063 1,538,808,190 769,404,095 2,308,212,286 1,154,106,143 3,462,318,430 1,731,159,215 5,193,477,646 2,596,738,823 7,790,216,470 3,895,108,235 11,685,324,706 5,842,662,353 17,527,987,060 8,763,993,530 4,381,996,765 13,145,990,296 6,572,995,148 3,286,497,574 1,643,248,787 4,929,746,362 2,464,873,181 7,394,619,544 3,697,309,772 1,848,654,886 924,327,443 2,772,982,330 1,386,491,165 4,159,473,496 2,079,736,748 1,039,868,374 519,934,187 1,559,802,562

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