λ
Sigma Notebook

6,108,450

2 × 3 × 52 × 193 × 211
Abundant Even Composite

6,108,450 is even and not a perfect square. Its factorization is 2 × 3 × 5^2 × 193 × 211 and its 48 divisors sum to 15,299,616.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 193 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,299,616
Proper Divisor Sum 9,191,166
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6108439 ← → #6108461

Radix Representation

Decimal 6108450
Binary 10111010011010100100010 (23 bits)
Octal 0o27232442
Hexadecimal 0x5D3522

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 150 193 211 386 422 579 633 965 1,055 1,158 1,266 1,930 2,110 2,895 3,165 4,825 5,275 5,790 6,330 9,650 10,550 14,475 15,825 28,950 31,650 40,723 81,446 122,169 203,615 244,338 407,230 610,845 1,018,075 1,221,690 2,036,150 3,054,225 6,108,450

Collatz Trajectory (134 steps to reach 1)

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

6,108,450 3,054,225 9,162,676 4,581,338 2,290,669 6,872,008 3,436,004 1,718,002 859,001 2,577,004 1,288,502 644,251 1,932,754 966,377 2,899,132 1,449,566 724,783 2,174,350 1,087,175 3,261,526 1,630,763 4,892,290 2,446,145 7,338,436 3,669,218 1,834,609 5,503,828 2,751,914 1,375,957 4,127,872 2,063,936 1,031,968 515,984 257,992 128,996 64,498 32,249 96,748 48,374 24,187 72,562 36,281 108,844 54,422 27,211 81,634 40,817 122,452 61,226 30,613 91,840 45,920 22,960 11,480 5,740 2,870 1,435 4,306 2,153 6,460

More profiles

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