λ
Sigma Notebook

2,396,821

7 × 29 × 11807
Deficient Odd Composite

2,396,821 is odd and not a perfect square. Its factorization is 7 × 29 × 11807 and its 8 divisors sum to 2,833,920.

Prime Factor Structure

Factorization String 7 × 29 × 11807
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,833,920
Proper Divisor Sum 437,099
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2396803 ← → #2396833

Radix Representation

Decimal 2396821
Binary 1001001001001010010101 (22 bits)
Octal 0o11111225
Hexadecimal 0x249295

Divisor Catalog (8)

1 7 29 203 11,807 82,649 342,403 2,396,821

Collatz Trajectory (205 steps to reach 1)

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

2,396,821 7,190,464 3,595,232 1,797,616 898,808 449,404 224,702 112,351 337,054 168,527 505,582 252,791 758,374 379,187 1,137,562 568,781 1,706,344 853,172 426,586 213,293 639,880 319,940 159,970 79,985 239,956 119,978 59,989 179,968 89,984 44,992 22,496 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227

More profiles

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