λ
Sigma Notebook

1,595,724

22 × 3 × 13 × 53 × 193
Abundant Even Composite

1,595,724 is even and not a perfect square. Its factorization is 2^2 × 3 × 13 × 53 × 193 and its 48 divisors sum to 4,106,592.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 53 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,106,592
Proper Divisor Sum 2,510,868
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1595723 ← → #1595729

Radix Representation

Decimal 1595724
Binary 110000101100101001100 (21 bits)
Octal 0o6054514
Hexadecimal 0x18594C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 193 212 318 386 579 636 689 772 1,158 1,378 2,067 2,316 2,509 2,756 4,134 5,018 7,527 8,268 10,036 10,229 15,054 20,458 30,108 30,687 40,916 61,374 122,748 132,977 265,954 398,931 531,908 797,862 1,595,724

Collatz Trajectory (238 steps to reach 1)

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

1,595,724 797,862 398,931 1,196,794 598,397 1,795,192 897,596 448,798 224,399 673,198 336,599 1,009,798 504,899 1,514,698 757,349 2,272,048 1,136,024 568,012 284,006 142,003 426,010 213,005 639,016 319,508 159,754 79,877 239,632 119,816 59,908 29,954 14,977 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748

More profiles

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