511,231

7 × 199 × 367

Starting at 511,231, the Collatz iteration reaches 1 after 187 steps. The first transition is 1533694; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 199 × 367

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 588,800

Proper Divisor Sum 77,569

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #511223 ← → #511237

Radix Representation

Decimal	511231
Binary	1111100110011111111 (19 bits)
Octal	0o1746377
Hexadecimal	0x7CCFF

Divisor Catalog (8)

1 7 199 367 1,393 2,569 73,033 511,231

Collatz Trajectory (187 steps to reach 1)

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

511,231 1,533,694 766,847 2,300,542 1,150,271 3,450,814 1,725,407 5,176,222 2,588,111 7,764,334 3,882,167 11,646,502 5,823,251 17,469,754 8,734,877 26,204,632 13,102,316 6,551,158 3,275,579 9,826,738 4,913,369 14,740,108 7,370,054 3,685,027 11,055,082 5,527,541 16,582,624 8,291,312 4,145,656 2,072,828 1,036,414 518,207 1,554,622 777,311 2,331,934 1,165,967 3,497,902 1,748,951 5,246,854 2,623,427 7,870,282 3,935,141 11,805,424 5,902,712 2,951,356 1,475,678 737,839 2,213,518 1,106,759 3,320,278 1,660,139 4,980,418 2,490,209 7,470,628 3,735,314 1,867,657 5,602,972 2,801,486 1,400,743 4,202,230

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