λ
Sigma Notebook

4,094,874

2 × 34 × 7 × 23 × 157
Abundant Even Composite

4,094,874 is even and not a perfect square. Its factorization is 2 × 3^4 × 7 × 23 × 157 and its 80 divisors sum to 11,011,968.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 23 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 11,011,968
Proper Divisor Sum 6,917,094
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4094837 ← → #4094879

Radix Representation

Decimal 4094874
Binary 1111100111101110011010 (22 bits)
Octal 0o17475632
Hexadecimal 0x3E7B9A

Divisor Catalog (60 of 80)

1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 157 161 162 189 207 314 322 378 414 471 483 567 621 942 966 1,099 1,134 1,242 1,413 1,449 1,863 2,198 2,826 2,898 3,297 3,611 3,726 4,239 4,347 6,594 7,222 8,478 8,694 9,891 10,833 12,717 13,041 19,782 21,666 25,277 25,434

Collatz Trajectory (229 steps to reach 1)

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

4,094,874 2,047,437 6,142,312 3,071,156 1,535,578 767,789 2,303,368 1,151,684 575,842 287,921 863,764 431,882 215,941 647,824 323,912 161,956 80,978 40,489 121,468 60,734 30,367 91,102 45,551 136,654 68,327 204,982 102,491 307,474 153,737 461,212 230,606 115,303 345,910 172,955 518,866 259,433 778,300 389,150 194,575 583,726 291,863 875,590 437,795 1,313,386 656,693 1,970,080 985,040 492,520 246,260 123,130 61,565 184,696 92,348 46,174 23,087 69,262 34,631 103,894 51,947 155,842

More profiles

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