λ
Sigma Notebook

3,463,878

2 × 3 × 11 × 31 × 1693
Abundant Even Composite

3,463,878 is even and not a perfect square. Its factorization is 2 × 3 × 11 × 31 × 1693 and its 32 divisors sum to 7,805,952.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 31 × 1693
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,805,952
Proper Divisor Sum 4,342,074
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3463861 ← → #3463879

Radix Representation

Decimal 3463878
Binary 1101001101101011000110 (22 bits)
Octal 0o15155306
Hexadecimal 0x34DAC6

Divisor Catalog (32)

1 2 3 6 11 22 31 33 62 66 93 186 341 682 1,023 1,693 2,046 3,386 5,079 10,158 18,623 37,246 52,483 55,869 104,966 111,738 157,449 314,898 577,313 1,154,626 1,731,939 3,463,878

Collatz Trajectory (146 steps to reach 1)

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

3,463,878 1,731,939 5,195,818 2,597,909 7,793,728 3,896,864 1,948,432 974,216 487,108 243,554 121,777 365,332 182,666 91,333 274,000 137,000 68,500 34,250 17,125 51,376 25,688 12,844 6,422 3,211 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103

More profiles

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