3,762,945

3² × 5 × 83621

3,762,945 has the prime decomposition 3^2 × 5 × 83621. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 83621

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,522,516

Proper Divisor Sum 2,759,571

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3762917 ← → #3762949

Radix Representation

Decimal	3762945
Binary	1110010110101100000001 (22 bits)
Octal	0o16265401
Hexadecimal	0x396B01

Divisor Catalog (12)

1 3 5 9 15 45 83,621 250,863 418,105 752,589 1,254,315 3,762,945

Collatz Trajectory (110 steps to reach 1)

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

3,762,945 11,288,836 5,644,418 2,822,209 8,466,628 4,233,314 2,116,657 6,349,972 3,174,986 1,587,493 4,762,480 2,381,240 1,190,620 595,310 297,655 892,966 446,483 1,339,450 669,725 2,009,176 1,004,588 502,294 251,147 753,442 376,721 1,130,164 565,082 282,541 847,624 423,812 211,906 105,953 317,860 158,930 79,465 238,396 119,198 59,599 178,798 89,399 268,198 134,099 402,298 201,149 603,448 301,724 150,862 75,431 226,294 113,147 339,442 169,721 509,164 254,582 127,291 381,874 190,937 572,812 286,406 143,203

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