λ
Sigma Notebook

3,326,818

2 × 11 × 37 × 61 × 67
Deficient Even Composite

3,326,818 is even and not a perfect square. Its factorization is 2 × 11 × 37 × 61 × 67 and its 32 divisors sum to 5,767,488.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 61 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,767,488
Proper Divisor Sum 2,440,670
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3326783 ← → #3326821

Radix Representation

Decimal 3326818
Binary 1100101100001101100010 (22 bits)
Octal 0o14541542
Hexadecimal 0x32C362

Divisor Catalog (32)

1 2 11 22 37 61 67 74 122 134 407 671 737 814 1,342 1,474 2,257 2,479 4,087 4,514 4,958 8,174 24,827 27,269 44,957 49,654 54,538 89,914 151,219 302,438 1,663,409 3,326,818

Collatz Trajectory (208 steps to reach 1)

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

3,326,818 1,663,409 4,990,228 2,495,114 1,247,557 3,742,672 1,871,336 935,668 467,834 233,917 701,752 350,876 175,438 87,719 263,158 131,579 394,738 197,369 592,108 296,054 148,027 444,082 222,041 666,124 333,062 166,531 499,594 249,797 749,392 374,696 187,348 93,674 46,837 140,512 70,256 35,128 17,564 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112

More profiles

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