775,269

3² × 11 × 41 × 191

Starting at 775,269, the Collatz iteration reaches 1 after 268 steps. The first transition is 2325808; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 41 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,257,984

Proper Divisor Sum 482,715

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #775267 ← → #775273

Radix Representation

Decimal	775269
Binary	10111101010001100101 (20 bits)
Octal	0o2752145
Hexadecimal	0xBD465

Divisor Catalog (24)

1 3 9 11 33 41 99 123 191 369 451 573 1,353 1,719 2,101 4,059 6,303 7,831 18,909 23,493 70,479 86,141 258,423 775,269

Collatz Trajectory (268 steps to reach 1)

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

775,269 2,325,808 1,162,904 581,452 290,726 145,363 436,090 218,045 654,136 327,068 163,534 81,767 245,302 122,651 367,954 183,977 551,932 275,966 137,983 413,950 206,975 620,926 310,463 931,390 465,695 1,397,086 698,543 2,095,630 1,047,815 3,143,446 1,571,723 4,715,170 2,357,585 7,072,756 3,536,378 1,768,189 5,304,568 2,652,284 1,326,142 663,071 1,989,214 994,607 2,983,822 1,491,911 4,475,734 2,237,867 6,713,602 3,356,801 10,070,404 5,035,202 2,517,601 7,552,804 3,776,402 1,888,201 5,664,604 2,832,302 1,416,151 4,248,454 2,124,227 6,372,682

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