3,951,945

3² × 5 × 53 × 1657

Starting at 3,951,945, the Collatz iteration reaches 1 after 229 steps. The first transition is 11855836; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 53 × 1657

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,983,496

Proper Divisor Sum 3,031,551

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3951923 ← → #3951947

Radix Representation

Decimal	3951945
Binary	1111000100110101001001 (22 bits)
Octal	0o17046511
Hexadecimal	0x3C4D49

Divisor Catalog (24)

1 3 5 9 15 45 53 159 265 477 795 1,657 2,385 4,971 8,285 14,913 24,855 74,565 87,821 263,463 439,105 790,389 1,317,315 3,951,945

Collatz Trajectory (229 steps to reach 1)

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

3,951,945 11,855,836 5,927,918 2,963,959 8,891,878 4,445,939 13,337,818 6,668,909 20,006,728 10,003,364 5,001,682 2,500,841 7,502,524 3,751,262 1,875,631 5,626,894 2,813,447 8,440,342 4,220,171 12,660,514 6,330,257 18,990,772 9,495,386 4,747,693 14,243,080 7,121,540 3,560,770 1,780,385 5,341,156 2,670,578 1,335,289 4,005,868 2,002,934 1,001,467 3,004,402 1,502,201 4,506,604 2,253,302 1,126,651 3,379,954 1,689,977 5,069,932 2,534,966 1,267,483 3,802,450 1,901,225 5,703,676 2,851,838 1,425,919 4,277,758 2,138,879 6,416,638 3,208,319 9,624,958 4,812,479 14,437,438 7,218,719 21,656,158 10,828,079 32,484,238

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