λ
Sigma Notebook

6,740,748

22 × 32 × 7 × 23 × 1163
Abundant Even Composite

6,740,748 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 7 × 23 × 1163 and its 72 divisors sum to 20,337,408.

Prime Factor Structure

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

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 20,337,408
Proper Divisor Sum 13,596,660
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6740743 ← → #6740759

Radix Representation

Decimal 6740748
Binary 11001101101101100001100 (23 bits)
Octal 0o31555414
Hexadecimal 0x66DB0C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1,163 1,449 1,932 2,326 2,898 3,489 4,652 5,796 6,978 8,141 10,467 13,956 16,282 20,934 24,423 26,749 32,564 41,868 48,846 53,498 73,269 80,247 97,692 106,996 146,538 160,494 187,243 240,741

Collatz Trajectory (108 steps to reach 1)

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

6,740,748 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

More profiles

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