3,706,950

2 × 3 × 5² × 13 × 1901

Starting at 3,706,950, the Collatz iteration reaches 1 after 234 steps. The first transition is 1853475; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 13 × 1901

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,905,616

Proper Divisor Sum 6,198,666

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3706931 ← → #3706961

Radix Representation

Decimal	3706950
Binary	1110001001000001000110 (22 bits)
Octal	0o16110106
Hexadecimal	0x389046

Divisor Catalog (48)

1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1,901 1,950 3,802 5,703 9,505 11,406 19,010 24,713 28,515 47,525 49,426 57,030 74,139 95,050 123,565 142,575 148,278 247,130 285,150 370,695 617,825 741,390 1,235,650 1,853,475 3,706,950

Collatz Trajectory (234 steps to reach 1)

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

3,706,950 1,853,475 5,560,426 2,780,213 8,340,640 4,170,320 2,085,160 1,042,580 521,290 260,645 781,936 390,968 195,484 97,742 48,871 146,614 73,307 219,922 109,961 329,884 164,942 82,471 247,414 123,707 371,122 185,561 556,684 278,342 139,171 417,514 208,757 626,272 313,136 156,568 78,284 39,142 19,571 58,714 29,357 88,072 44,036 22,018 11,009 33,028 16,514 8,257 24,772 12,386 6,193 18,580 9,290 4,645 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922

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