λ
Sigma Notebook

3,748,382

2 × 11 × 67 × 2543
Deficient Even Composite

3,748,382 is even and not a perfect square. Its factorization is 2 × 11 × 67 × 2543 and its 16 divisors sum to 6,227,712.

Prime Factor Structure

Factorization String 2 × 11 × 67 × 2543
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,227,712
Proper Divisor Sum 2,479,330
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3748361 ← → #3748387

Radix Representation

Decimal 3748382
Binary 1110010011001000011110 (22 bits)
Octal 0o16231036
Hexadecimal 0x39321E

Divisor Catalog (16)

1 2 11 22 67 134 737 1,474 2,543 5,086 27,973 55,946 170,381 340,762 1,874,191 3,748,382

Collatz Trajectory (278 steps to reach 1)

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

3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931 12,650,794 6,325,397 18,976,192 9,488,096 4,744,048 2,372,024 1,186,012 593,006 296,503 889,510 444,755 1,334,266 667,133 2,001,400 1,000,700 500,350 250,175 750,526 375,263 1,125,790 562,895 1,688,686 844,343 2,533,030 1,266,515 3,799,546 1,899,773 5,699,320 2,849,660 1,424,830 712,415 2,137,246 1,068,623 3,205,870 1,602,935 4,808,806 2,404,403 7,213,210 3,606,605 10,819,816 5,409,908 2,704,954 1,352,477 4,057,432 2,028,716 1,014,358 507,179 1,521,538 760,769 2,282,308 1,141,154 570,577 1,711,732 855,866

More profiles

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