λ
Integer Codex

3,797,646

2 × 3 × 632941
Abundant Even Composite

For 3,797,646, the 8 positive divisors have a total of 7,595,304. Removing 3,797,646 leaves 3,797,658, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 632941
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,595,304
Proper Divisor Sum 3,797,658
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3797641 ← → #3797657

Radix Representation

Decimal 3797646
Binary 1110011111001010001110 (22 bits)
Octal 0o16371216
Hexadecimal 0x39F28E

Divisor Catalog (8)

1 2 3 6 632,941 1,265,882 1,898,823 3,797,646

Collatz Trajectory (247 steps to reach 1)

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

3,797,646 1,898,823 5,696,470 2,848,235 8,544,706 4,272,353 12,817,060 6,408,530 3,204,265 9,612,796 4,806,398 2,403,199 7,209,598 3,604,799 10,814,398 5,407,199 16,221,598 8,110,799 24,332,398 12,166,199 36,498,598 18,249,299 54,747,898 27,373,949 82,121,848 41,060,924 20,530,462 10,265,231 30,795,694 15,397,847 46,193,542 23,096,771 69,290,314 34,645,157 103,935,472 51,967,736 25,983,868 12,991,934 6,495,967 19,487,902 9,743,951 29,231,854 14,615,927 43,847,782 21,923,891 65,771,674 32,885,837 98,657,512 49,328,756 24,664,378 12,332,189 36,996,568 18,498,284 9,249,142 4,624,571 13,873,714 6,936,857 20,810,572 10,405,286 5,202,643

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