λ
Integer Codex

2,231,457

3 × 743819
Deficient Odd Composite

For 2,231,457, the 4 positive divisors have a total of 2,975,280. Removing 2,231,457 leaves 743,823, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 743819
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,975,280
Proper Divisor Sum 743,823
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2231447 ← → #2231461

Radix Representation

Decimal 2231457
Binary 1000100000110010100001 (22 bits)
Octal 0o10406241
Hexadecimal 0x220CA1

Divisor Catalog (4)

1 3 743,819 2,231,457

Collatz Trajectory (210 steps to reach 1)

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

2,231,457 6,694,372 3,347,186 1,673,593 5,020,780 2,510,390 1,255,195 3,765,586 1,882,793 5,648,380 2,824,190 1,412,095 4,236,286 2,118,143 6,354,430 3,177,215 9,531,646 4,765,823 14,297,470 7,148,735 21,446,206 10,723,103 32,169,310 16,084,655 48,253,966 24,126,983 72,380,950 36,190,475 108,571,426 54,285,713 162,857,140 81,428,570 40,714,285 122,142,856 61,071,428 30,535,714 15,267,857 45,803,572 22,901,786 11,450,893 34,352,680 17,176,340 8,588,170 4,294,085 12,882,256 6,441,128 3,220,564 1,610,282 805,141 2,415,424 1,207,712 603,856 301,928 150,964 75,482 37,741 113,224 56,612 28,306 14,153

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