3,637,989

3² × 404221

Starting at 3,637,989, the Collatz iteration reaches 1 after 234 steps. The first transition is 10913968; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 404221

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,254,886

Proper Divisor Sum 1,616,897

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3637981 ← → #3638003

Radix Representation

Decimal	3637989
Binary	1101111000001011100101 (22 bits)
Octal	0o15701345
Hexadecimal	0x3782E5

Divisor Catalog (6)

1 3 9 404,221 1,212,663 3,637,989

Collatz Trajectory (234 steps to reach 1)

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

3,637,989 10,913,968 5,456,984 2,728,492 1,364,246 682,123 2,046,370 1,023,185 3,069,556 1,534,778 767,389 2,302,168 1,151,084 575,542 287,771 863,314 431,657 1,294,972 647,486 323,743 971,230 485,615 1,456,846 728,423 2,185,270 1,092,635 3,277,906 1,638,953 4,916,860 2,458,430 1,229,215 3,687,646 1,843,823 5,531,470 2,765,735 8,297,206 4,148,603 12,445,810 6,222,905 18,668,716 9,334,358 4,667,179 14,001,538 7,000,769 21,002,308 10,501,154 5,250,577 15,751,732 7,875,866 3,937,933 11,813,800 5,906,900 2,953,450 1,476,725 4,430,176 2,215,088 1,107,544 553,772 276,886 138,443

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