λ
Sigma Notebook

2,670,941

73 × 13 × 599
Deficient Odd Composite

2,670,941 is odd and not a perfect square. Its factorization is 7^3 × 13 × 599 and its 16 divisors sum to 3,360,000.

Prime Factor Structure

Factorization String 7^3 × 13 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,360,000
Proper Divisor Sum 689,059
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2670931 ← → #2670973

Radix Representation

Decimal 2670941
Binary 1010001100000101011101 (22 bits)
Octal 0o12140535
Hexadecimal 0x28C15D

Divisor Catalog (16)

1 7 13 49 91 343 599 637 4,193 4,459 7,787 29,351 54,509 205,457 381,563 2,670,941

Collatz Trajectory (94 steps to reach 1)

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

2,670,941 8,012,824 4,006,412 2,003,206 1,001,603 3,004,810 1,502,405 4,507,216 2,253,608 1,126,804 563,402 281,701 845,104 422,552 211,276 105,638 52,819 158,458 79,229 237,688 118,844 59,422 29,711 89,134 44,567 133,702 66,851 200,554 100,277 300,832 150,416 75,208 37,604 18,802 9,401 28,204 14,102 7,051 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949

More profiles

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