λ
Harmonic Matrix

5,764,580

22 × 5 × 43 × 6703
Abundant Even Composite

5,764,580 has digital root 8. The neighboring primes are 5764579 and 5764589; its proper-divisor sum differs from the starting integer by 859,832.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 6703
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,388,992
Proper Divisor Sum 6,624,412
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5764579 ← → #5764589

Radix Representation

Decimal 5764580
Binary 10101111111010111100100 (23 bits)
Octal 0o25772744
Hexadecimal 0x57F5E4

Divisor Catalog (24)

1 2 4 5 10 20 43 86 172 215 430 860 6,703 13,406 26,812 33,515 67,030 134,060 288,229 576,458 1,152,916 1,441,145 2,882,290 5,764,580

Collatz Trajectory (126 steps to reach 1)

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

5,764,580 2,882,290 1,441,145 4,323,436 2,161,718 1,080,859 3,242,578 1,621,289 4,863,868 2,431,934 1,215,967 3,647,902 1,823,951 5,471,854 2,735,927 8,207,782 4,103,891 12,311,674 6,155,837 18,467,512 9,233,756 4,616,878 2,308,439 6,925,318 3,462,659 10,387,978 5,193,989 15,581,968 7,790,984 3,895,492 1,947,746 973,873 2,921,620 1,460,810 730,405 2,191,216 1,095,608 547,804 273,902 136,951 410,854 205,427 616,282 308,141 924,424 462,212 231,106 115,553 346,660 173,330 86,665 259,996 129,998 64,999 194,998 97,499 292,498 146,249 438,748 219,374

More profiles

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