3,741,395

5 × 7² × 15271

3,741,395 is odd and not a perfect square. Its factorization is 5 × 7^2 × 15271 and its 12 divisors sum to 5,223,024.

Prime Factor Structure

Factorization String 5 × 7^2 × 15271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,223,024

Proper Divisor Sum 1,481,629

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3741383 ← → #3741401

Radix Representation

Decimal	3741395
Binary	1110010001011011010011 (22 bits)
Octal	0o16213323
Hexadecimal	0x3916D3

Divisor Catalog (12)

1 5 7 35 49 245 15,271 76,355 106,897 534,485 748,279 3,741,395

Collatz Trajectory (97 steps to reach 1)

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

3,741,395 11,224,186 5,612,093 16,836,280 8,418,140 4,209,070 2,104,535 6,313,606 3,156,803 9,470,410 4,735,205 14,205,616 7,102,808 3,551,404 1,775,702 887,851 2,663,554 1,331,777 3,995,332 1,997,666 998,833 2,996,500 1,498,250 749,125 2,247,376 1,123,688 561,844 280,922 140,461 421,384 210,692 105,346 52,673 158,020 79,010 39,505 118,516 59,258 29,629 88,888 44,444 22,222 11,111 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397

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