λ
Sigma Notebook

3,370,374

2 × 32 × 7 × 23 × 1163
Abundant Even Composite

3,370,374 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 23 × 1163 and its 48 divisors sum to 8,716,032.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 23 × 1163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,716,032
Proper Divisor Sum 5,345,658
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3370363 ← → #3370387

Radix Representation

Decimal 3370374
Binary 1100110110110110000110 (22 bits)
Octal 0o14666606
Hexadecimal 0x336D86

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1,163 1,449 2,326 2,898 3,489 6,978 8,141 10,467 16,282 20,934 24,423 26,749 48,846 53,498 73,269 80,247 146,538 160,494 187,243 240,741 374,486 481,482 561,729 1,123,458 1,685,187 3,370,374

Collatz Trajectory (107 steps to reach 1)

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

3,370,374 1,685,187 5,055,562 2,527,781 7,583,344 3,791,672 1,895,836 947,918 473,959 1,421,878 710,939 2,132,818 1,066,409 3,199,228 1,599,614 799,807 2,399,422 1,199,711 3,599,134 1,799,567 5,398,702 2,699,351 8,098,054 4,049,027 12,147,082 6,073,541 18,220,624 9,110,312 4,555,156 2,277,578 1,138,789 3,416,368 1,708,184 854,092 427,046 213,523 640,570 320,285 960,856 480,428 240,214 120,107 360,322 180,161 540,484 270,242 135,121 405,364 202,682 101,341 304,024 152,012 76,006 38,003 114,010 57,005 171,016 85,508 42,754 21,377

More profiles

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