λ
Sigma Notebook

2,981,560

23 × 5 × 131 × 569
Abundant Even Composite

2,981,560 is even and not a perfect square. Its factorization is 2^3 × 5 × 131 × 569 and its 32 divisors sum to 6,771,600.

Prime Factor Structure

Factorization String 2^3 × 5 × 131 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,771,600
Proper Divisor Sum 3,790,040
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2981551 ← → #2981569

Radix Representation

Decimal 2981560
Binary 1011010111111010111000 (22 bits)
Octal 0o13277270
Hexadecimal 0x2D7EB8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 131 262 524 569 655 1,048 1,138 1,310 2,276 2,620 2,845 4,552 5,240 5,690 11,380 22,760 74,539 149,078 298,156 372,695 596,312 745,390 1,490,780 2,981,560

Collatz Trajectory (226 steps to reach 1)

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

2,981,560 1,490,780 745,390 372,695 1,118,086 559,043 1,677,130 838,565 2,515,696 1,257,848 628,924 314,462 157,231 471,694 235,847 707,542 353,771 1,061,314 530,657 1,591,972 795,986 397,993 1,193,980 596,990 298,495 895,486 447,743 1,343,230 671,615 2,014,846 1,007,423 3,022,270 1,511,135 4,533,406 2,266,703 6,800,110 3,400,055 10,200,166 5,100,083 15,300,250 7,650,125 22,950,376 11,475,188 5,737,594 2,868,797 8,606,392 4,303,196 2,151,598 1,075,799 3,227,398 1,613,699 4,841,098 2,420,549 7,261,648 3,630,824 1,815,412 907,706 453,853 1,361,560 680,780

More profiles

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