λ
Sigma Notebook

2,760,051

3 × 7 × 131431
Deficient Odd Composite

2,760,051 is odd and not a perfect square. Its factorization is 3 × 7 × 131431 and its 8 divisors sum to 4,205,824.

Prime Factor Structure

Factorization String 3 × 7 × 131431
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,205,824
Proper Divisor Sum 1,445,773
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2760049 ← → #2760053

Radix Representation

Decimal 2760051
Binary 1010100001110101110011 (22 bits)
Octal 0o12416563
Hexadecimal 0x2A1D73

Divisor Catalog (8)

1 3 7 21 131,431 394,293 920,017 2,760,051

Collatz Trajectory (306 steps to reach 1)

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

2,760,051 8,280,154 4,140,077 12,420,232 6,210,116 3,105,058 1,552,529 4,657,588 2,328,794 1,164,397 3,493,192 1,746,596 873,298 436,649 1,309,948 654,974 327,487 982,462 491,231 1,473,694 736,847 2,210,542 1,105,271 3,315,814 1,657,907 4,973,722 2,486,861 7,460,584 3,730,292 1,865,146 932,573 2,797,720 1,398,860 699,430 349,715 1,049,146 524,573 1,573,720 786,860 393,430 196,715 590,146 295,073 885,220 442,610 221,305 663,916 331,958 165,979 497,938 248,969 746,908 373,454 186,727 560,182 280,091 840,274 420,137 1,260,412 630,206

More profiles

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