1,088,339

7³ × 19 × 167

Starting at 1,088,339, the Collatz iteration reaches 1 after 121 steps. The first transition is 3265018; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7^3 × 19 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,344,000

Proper Divisor Sum 255,661

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1088309 ← → #1088371

Radix Representation

Decimal	1088339
Binary	100001001101101010011 (21 bits)
Octal	0o4115523
Hexadecimal	0x109B53

Divisor Catalog (16)

1 7 19 49 133 167 343 931 1,169 3,173 6,517 8,183 22,211 57,281 155,477 1,088,339

Collatz Trajectory (121 steps to reach 1)

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

1,088,339 3,265,018 1,632,509 4,897,528 2,448,764 1,224,382 612,191 1,836,574 918,287 2,754,862 1,377,431 4,132,294 2,066,147 6,198,442 3,099,221 9,297,664 4,648,832 2,324,416 1,162,208 581,104 290,552 145,276 72,638 36,319 108,958 54,479 163,438 81,719 245,158 122,579 367,738 183,869 551,608 275,804 137,902 68,951 206,854 103,427 310,282 155,141 465,424 232,712 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545 73,636 36,818 18,409 55,228 27,614 13,807 41,422

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