λ
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3,031,416

23 × 32 × 71 × 593
Abundant Even Composite

3,031,416 factors as 2^3 × 3^2 × 71 × 593. Its 48 positive divisors give a proper-divisor sum of 5,308,344, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 71 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,339,760
Proper Divisor Sum 5,308,344
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3031403 ← → #3031421

Radix Representation

Decimal 3031416
Binary 1011100100000101111000 (22 bits)
Octal 0o13440570
Hexadecimal 0x2E4178

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 593 639 852 1,186 1,278 1,704 1,779 2,372 2,556 3,558 4,744 5,112 5,337 7,116 10,674 14,232 21,348 42,103 42,696 84,206 126,309 168,412 252,618 336,824 378,927 505,236 757,854 1,010,472 1,515,708 3,031,416

Collatz Trajectory (218 steps to reach 1)

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

3,031,416 1,515,708 757,854 378,927 1,136,782 568,391 1,705,174 852,587 2,557,762 1,278,881 3,836,644 1,918,322 959,161 2,877,484 1,438,742 719,371 2,158,114 1,079,057 3,237,172 1,618,586 809,293 2,427,880 1,213,940 606,970 303,485 910,456 455,228 227,614 113,807 341,422 170,711 512,134 256,067 768,202 384,101 1,152,304 576,152 288,076 144,038 72,019 216,058 108,029 324,088 162,044 81,022 40,511 121,534 60,767 182,302 91,151 273,454 136,727 410,182 205,091 615,274 307,637 922,912 461,456 230,728 115,364

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