1,089,429

3 × 11 × 33013

Starting at 1,089,429, the Collatz iteration reaches 1 after 271 steps. The first transition is 3268288; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 33013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,584,672

Proper Divisor Sum 495,243

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1089427 ← → #1089457

Radix Representation

Decimal	1089429
Binary	100001001111110010101 (21 bits)
Octal	0o4117625
Hexadecimal	0x109F95

Divisor Catalog (8)

1 3 11 33 33,013 99,039 363,143 1,089,429

Collatz Trajectory (271 steps to reach 1)

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

1,089,429 3,268,288 1,634,144 817,072 408,536 204,268 102,134 51,067 153,202 76,601 229,804 114,902 57,451 172,354 86,177 258,532 129,266 64,633 193,900 96,950 48,475 145,426 72,713 218,140 109,070 54,535 163,606 81,803 245,410 122,705 368,116 184,058 92,029 276,088 138,044 69,022 34,511 103,534 51,767 155,302 77,651 232,954 116,477 349,432 174,716 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771

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