189,057

3 × 11 × 17 × 337

Starting at 189,057, the Collatz iteration reaches 1 after 222 steps. The first transition is 567172; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 17 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 292,032

Proper Divisor Sum 102,975

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #189043 ← → #189061

Radix Representation

Decimal	189057
Binary	101110001010000001 (18 bits)
Octal	0o561201
Hexadecimal	0x2E281

Divisor Catalog (16)

1 3 11 17 33 51 187 337 561 1,011 3,707 5,729 11,121 17,187 63,019 189,057

Collatz Trajectory (222 steps to reach 1)

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

189,057 567,172 283,586 141,793 425,380 212,690 106,345 319,036 159,518 79,759 239,278 119,639 358,918 179,459 538,378 269,189 807,568 403,784 201,892 100,946 50,473 151,420 75,710 37,855 113,566 56,783 170,350 85,175 255,526 127,763 383,290 191,645 574,936 287,468 143,734 71,867 215,602 107,801 323,404 161,702 80,851 242,554 121,277 363,832 181,916 90,958 45,479 136,438 68,219 204,658 102,329 306,988 153,494 76,747 230,242 115,121 345,364 172,682 86,341 259,024

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