λ
Sigma Notebook

2,313,241

72 × 17 × 2777
Deficient Odd Composite

2,313,241 is odd and not a perfect square. Its factorization is 7^2 × 17 × 2777 and its 12 divisors sum to 2,850,228.

Prime Factor Structure

Factorization String 7^2 × 17 × 2777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,850,228
Proper Divisor Sum 536,987
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2313239 ← → #2313247

Radix Representation

Decimal 2313241
Binary 1000110100110000011001 (22 bits)
Octal 0o10646031
Hexadecimal 0x234C19

Divisor Catalog (12)

1 7 17 49 119 833 2,777 19,439 47,209 136,073 330,463 2,313,241

Collatz Trajectory (130 steps to reach 1)

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

2,313,241 6,939,724 3,469,862 1,734,931 5,204,794 2,602,397 7,807,192 3,903,596 1,951,798 975,899 2,927,698 1,463,849 4,391,548 2,195,774 1,097,887 3,293,662 1,646,831 4,940,494 2,470,247 7,410,742 3,705,371 11,116,114 5,558,057 16,674,172 8,337,086 4,168,543 12,505,630 6,252,815 18,758,446 9,379,223 28,137,670 14,068,835 42,206,506 21,103,253 63,309,760 31,654,880 15,827,440 7,913,720 3,956,860 1,978,430 989,215 2,967,646 1,483,823 4,451,470 2,225,735 6,677,206 3,338,603 10,015,810 5,007,905 15,023,716 7,511,858 3,755,929 11,267,788 5,633,894 2,816,947 8,450,842 4,225,421 12,676,264 6,338,132 3,169,066

More profiles

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