3,737,385

3² × 5 × 23² × 157

3,737,385 is odd and not a perfect square. Its factorization is 3^2 × 5 × 23^2 × 157 and its 36 divisors sum to 6,815,172.

Prime Factor Structure

Factorization String 3^2 × 5 × 23^2 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,815,172

Proper Divisor Sum 3,077,787

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3737359 ← → #3737387

Radix Representation

Decimal	3737385
Binary	1110010000011100101001 (22 bits)
Octal	0o16203451
Hexadecimal	0x390729

Divisor Catalog (36)

1 3 5 9 15 23 45 69 115 157 207 345 471 529 785 1,035 1,413 1,587 2,355 2,645 3,611 4,761 7,065 7,935 10,833 18,055 23,805 32,499 54,165 83,053 162,495 249,159 415,265 747,477 1,245,795 3,737,385

Collatz Trajectory (133 steps to reach 1)

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

3,737,385 11,212,156 5,606,078 2,803,039 8,409,118 4,204,559 12,613,678 6,306,839 18,920,518 9,460,259 28,380,778 14,190,389 42,571,168 21,285,584 10,642,792 5,321,396 2,660,698 1,330,349 3,991,048 1,995,524 997,762 498,881 1,496,644 748,322 374,161 1,122,484 561,242 280,621 841,864 420,932 210,466 105,233 315,700 157,850 78,925 236,776 118,388 59,194 29,597 88,792 44,396 22,198 11,099 33,298 16,649 49,948 24,974 12,487 37,462 18,731 56,194 28,097 84,292 42,146 21,073 63,220 31,610 15,805 47,416 23,708

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