λ
Sigma Notebook

2,290,767

3 × 17 × 44917
Deficient Odd Composite

2,290,767 is odd and not a perfect square. Its factorization is 3 × 17 × 44917 and its 8 divisors sum to 3,234,096.

Prime Factor Structure

Factorization String 3 × 17 × 44917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,234,096
Proper Divisor Sum 943,329
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2290751 ← → #2290789

Radix Representation

Decimal 2290767
Binary 1000101111010001001111 (22 bits)
Octal 0o10572117
Hexadecimal 0x22F44F

Divisor Catalog (8)

1 3 17 51 44,917 134,751 763,589 2,290,767

Collatz Trajectory (130 steps to reach 1)

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

2,290,767 6,872,302 3,436,151 10,308,454 5,154,227 15,462,682 7,731,341 23,194,024 11,597,012 5,798,506 2,899,253 8,697,760 4,348,880 2,174,440 1,087,220 543,610 271,805 815,416 407,708 203,854 101,927 305,782 152,891 458,674 229,337 688,012 344,006 172,003 516,010 258,005 774,016 387,008 193,504 96,752 48,376 24,188 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422

More profiles

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