λ
Harmonic Matrix

5,716,574

2 × 37 × 67 × 1153
Deficient Even Composite

5,716,574 has digital root 8. The neighboring primes are 5716561 and 5716583; its proper-divisor sum differs from the starting integer by -2,487,340.

Prime Factor Structure

Factorization String 2 × 37 × 67 × 1153
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,945,808
Proper Divisor Sum 3,229,234
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5716561 ← → #5716583

Radix Representation

Decimal 5716574
Binary 10101110011101001011110 (23 bits)
Octal 0o25635136
Hexadecimal 0x573A5E

Divisor Catalog (16)

1 2 37 67 74 134 1,153 2,306 2,479 4,958 42,661 77,251 85,322 154,502 2,858,287 5,716,574

Collatz Trajectory (294 steps to reach 1)

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

5,716,574 2,858,287 8,574,862 4,287,431 12,862,294 6,431,147 19,293,442 9,646,721 28,940,164 14,470,082 7,235,041 21,705,124 10,852,562 5,426,281 16,278,844 8,139,422 4,069,711 12,209,134 6,104,567 18,313,702 9,156,851 27,470,554 13,735,277 41,205,832 20,602,916 10,301,458 5,150,729 15,452,188 7,726,094 3,863,047 11,589,142 5,794,571 17,383,714 8,691,857 26,075,572 13,037,786 6,518,893 19,556,680 9,778,340 4,889,170 2,444,585 7,333,756 3,666,878 1,833,439 5,500,318 2,750,159 8,250,478 4,125,239 12,375,718 6,187,859 18,563,578 9,281,789 27,845,368 13,922,684 6,961,342 3,480,671 10,442,014 5,221,007 15,663,022 7,831,511

More profiles

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