λ
Harmonic Matrix

4,606,074

2 × 32 × 11 × 43 × 541
Abundant Even Composite

4,606,074 has digital root 9. The neighboring primes are 4606051 and 4606079; its proper-divisor sum differs from the starting integer by 1,948,716.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 43 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,160,864
Proper Divisor Sum 6,554,790
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4606051 ← → #4606079

Radix Representation

Decimal 4606074
Binary 10001100100100001111010 (23 bits)
Octal 0o21444172
Hexadecimal 0x46487A

Divisor Catalog (48)

1 2 3 6 9 11 18 22 33 43 66 86 99 129 198 258 387 473 541 774 946 1,082 1,419 1,623 2,838 3,246 4,257 4,869 5,951 8,514 9,738 11,902 17,853 23,263 35,706 46,526 53,559 69,789 107,118 139,578 209,367 255,893 418,734 511,786 767,679 1,535,358 2,303,037 4,606,074

Collatz Trajectory (193 steps to reach 1)

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

4,606,074 2,303,037 6,909,112 3,454,556 1,727,278 863,639 2,590,918 1,295,459 3,886,378 1,943,189 5,829,568 2,914,784 1,457,392 728,696 364,348 182,174 91,087 273,262 136,631 409,894 204,947 614,842 307,421 922,264 461,132 230,566 115,283 345,850 172,925 518,776 259,388 129,694 64,847 194,542 97,271 291,814 145,907 437,722 218,861 656,584 328,292 164,146 82,073 246,220 123,110 61,555 184,666 92,333 277,000 138,500 69,250 34,625 103,876 51,938 25,969 77,908 38,954 19,477 58,432 29,216

More profiles

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