884,275

5² × 7 × 31 × 163

Starting at 884,275, the Collatz iteration reaches 1 after 263 steps. The first transition is 2652826; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 31 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,301,504

Proper Divisor Sum 417,229

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #884269 ← → #884287

Radix Representation

Decimal	884275
Binary	11010111111000110011 (20 bits)
Octal	0o3277063
Hexadecimal	0xD7E33

Divisor Catalog (24)

1 5 7 25 31 35 155 163 175 217 775 815 1,085 1,141 4,075 5,053 5,425 5,705 25,265 28,525 35,371 126,325 176,855 884,275

Collatz Trajectory (263 steps to reach 1)

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

884,275 2,652,826 1,326,413 3,979,240 1,989,620 994,810 497,405 1,492,216 746,108 373,054 186,527 559,582 279,791 839,374 419,687 1,259,062 629,531 1,888,594 944,297 2,832,892 1,416,446 708,223 2,124,670 1,062,335 3,187,006 1,593,503 4,780,510 2,390,255 7,170,766 3,585,383 10,756,150 5,378,075 16,134,226 8,067,113 24,201,340 12,100,670 6,050,335 18,151,006 9,075,503 27,226,510 13,613,255 40,839,766 20,419,883 61,259,650 30,629,825 91,889,476 45,944,738 22,972,369 68,917,108 34,458,554 17,229,277 51,687,832 25,843,916 12,921,958 6,460,979 19,382,938 9,691,469 29,074,408 14,537,204 7,268,602

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