3,780,946

2 × 13 × 31 × 4691

3,780,946 factors as 2 × 13 × 31 × 4691. Its 16 positive divisors give a proper-divisor sum of 2,525,102, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2 × 13 × 31 × 4691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,306,048

Proper Divisor Sum 2,525,102

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3780941 ← → #3780949

Radix Representation

Decimal	3780946
Binary	1110011011000101010010 (22 bits)
Octal	0o16330522
Hexadecimal	0x39B152

Divisor Catalog (16)

1 2 13 26 31 62 403 806 4,691 9,382 60,983 121,966 145,421 290,842 1,890,473 3,780,946

Collatz Trajectory (159 steps to reach 1)

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

3,780,946 1,890,473 5,671,420 2,835,710 1,417,855 4,253,566 2,126,783 6,380,350 3,190,175 9,570,526 4,785,263 14,355,790 7,177,895 21,533,686 10,766,843 32,300,530 16,150,265 48,450,796 24,225,398 12,112,699 36,338,098 18,169,049 54,507,148 27,253,574 13,626,787 40,880,362 20,440,181 61,320,544 30,660,272 15,330,136 7,665,068 3,832,534 1,916,267 5,748,802 2,874,401 8,623,204 4,311,602 2,155,801 6,467,404 3,233,702 1,616,851 4,850,554 2,425,277 7,275,832 3,637,916 1,818,958 909,479 2,728,438 1,364,219 4,092,658 2,046,329 6,138,988 3,069,494 1,534,747 4,604,242 2,302,121 6,906,364 3,453,182 1,726,591 5,179,774

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