λ
Harmonic Matrix

1,333,236

22 × 3 × 111103
Abundant Even Composite

1,333,236 has digital root 3. The neighboring primes are 1333231 and 1333253; its proper-divisor sum differs from the starting integer by 444,440.

Prime Factor Structure

Factorization String 2^2 × 3 × 111103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,110,912
Proper Divisor Sum 1,777,676
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1333231 ← → #1333253

Radix Representation

Decimal 1333236
Binary 101000101011111110100 (21 bits)
Octal 0o5053764
Hexadecimal 0x1457F4

Divisor Catalog (12)

1 2 3 4 6 12 111,103 222,206 333,309 444,412 666,618 1,333,236

Collatz Trajectory (186 steps to reach 1)

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

1,333,236 666,618 333,309 999,928 499,964 249,982 124,991 374,974 187,487 562,462 281,231 843,694 421,847 1,265,542 632,771 1,898,314 949,157 2,847,472 1,423,736 711,868 355,934 177,967 533,902 266,951 800,854 400,427 1,201,282 600,641 1,801,924 900,962 450,481 1,351,444 675,722 337,861 1,013,584 506,792 253,396 126,698 63,349 190,048 95,024 47,512 23,756 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235

More profiles

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