1,149,099

3 × 7² × 7817

Starting at 1,149,099, the Collatz iteration reaches 1 after 209 steps. The first transition is 3447298; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 7817

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,782,504

Proper Divisor Sum 633,405

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1149061 ← → #1149131

Radix Representation

Decimal	1149099
Binary	100011000100010101011 (21 bits)
Octal	0o4304253
Hexadecimal	0x1188AB

Divisor Catalog (12)

1 3 7 21 49 147 7,817 23,451 54,719 164,157 383,033 1,149,099

Collatz Trajectory (209 steps to reach 1)

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

1,149,099 3,447,298 1,723,649 5,170,948 2,585,474 1,292,737 3,878,212 1,939,106 969,553 2,908,660 1,454,330 727,165 2,181,496 1,090,748 545,374 272,687 818,062 409,031 1,227,094 613,547 1,840,642 920,321 2,760,964 1,380,482 690,241 2,070,724 1,035,362 517,681 1,553,044 776,522 388,261 1,164,784 582,392 291,196 145,598 72,799 218,398 109,199 327,598 163,799 491,398 245,699 737,098 368,549 1,105,648 552,824 276,412 138,206 69,103 207,310 103,655 310,966 155,483 466,450 233,225 699,676 349,838 174,919 524,758 262,379

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