1,305,261

3³ × 29 × 1667

Starting at 1,305,261, the Collatz iteration reaches 1 after 186 steps. The first transition is 3915784; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 29 × 1667

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,001,600

Proper Divisor Sum 696,339

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1305253 ← → #1305287

Radix Representation

Decimal	1305261
Binary	100111110101010101101 (21 bits)
Octal	0o4765255
Hexadecimal	0x13EAAD

Divisor Catalog (16)

1 3 9 27 29 87 261 783 1,667 5,001 15,003 45,009 48,343 145,029 435,087 1,305,261

Collatz Trajectory (186 steps to reach 1)

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

1,305,261 3,915,784 1,957,892 978,946 489,473 1,468,420 734,210 367,105 1,101,316 550,658 275,329 825,988 412,994 206,497 619,492 309,746 154,873 464,620 232,310 116,155 348,466 174,233 522,700 261,350 130,675 392,026 196,013 588,040 294,020 147,010 73,505 220,516 110,258 55,129 165,388 82,694 41,347 124,042 62,021 186,064 93,032 46,516 23,258 11,629 34,888 17,444 8,722 4,361 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282

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