1,149,225

3 × 5² × 7 × 11 × 199

Starting at 1,149,225, the Collatz iteration reaches 1 after 59 steps. The first transition is 3447676; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 11 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,380,800

Proper Divisor Sum 1,231,575

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1149221 ← → #1149227

Radix Representation

Decimal	1149225
Binary	100011000100100101001 (21 bits)
Octal	0o4304451
Hexadecimal	0x118929

Divisor Catalog (48)

1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 199 231 275 385 525 597 825 995 1,155 1,393 1,925 2,189 2,985 4,179 4,975 5,775 6,567 6,965 10,945 14,925 15,323 20,895 32,835 34,825 45,969 54,725 76,615 104,475 164,175 229,845 383,075 1,149,225

Collatz Trajectory (59 steps to reach 1)

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

1,149,225 3,447,676 1,723,838 861,919 2,585,758 1,292,879 3,878,638 1,939,319 5,817,958 2,908,979 8,726,938 4,363,469 13,090,408 6,545,204 3,272,602 1,636,301 4,908,904 2,454,452 1,227,226 613,613 1,840,840 920,420 460,210 230,105 690,316 345,158 172,579 517,738 258,869 776,608 388,304 194,152 97,076 48,538 24,269 72,808 36,404 18,202 9,101 27,304 13,652 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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