λ
Sigma Notebook

3,078,960

24 × 3 × 5 × 12829
Abundant Even Composite

3,078,960 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 12829 and its 40 divisors sum to 9,545,520.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 12829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 9,545,520
Proper Divisor Sum 6,466,560
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3078953 ← → #3078967

Radix Representation

Decimal 3078960
Binary 1011101111101100110000 (22 bits)
Octal 0o13575460
Hexadecimal 0x2EFB30

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 12,829 25,658 38,487 51,316 64,145 76,974 102,632 128,290 153,948 192,435 205,264 256,580 307,896 384,870 513,160 615,792 769,740 1,026,320 1,539,480 3,078,960

Collatz Trajectory (151 steps to reach 1)

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

3,078,960 1,539,480 769,740 384,870 192,435 577,306 288,653 865,960 432,980 216,490 108,245 324,736 162,368 81,184 40,592 20,296 10,148 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91

More profiles

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