λ
Harmonic Matrix

2,575,578

2 × 3 × 197 × 2179
Abundant Even Composite

2,575,578 has digital root 3. The neighboring primes are 2575549 and 2575589; its proper-divisor sum differs from the starting integer by 28,524.

Prime Factor Structure

Factorization String 2 × 3 × 197 × 2179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,179,680
Proper Divisor Sum 2,604,102
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2575549 ← → #2575589

Radix Representation

Decimal 2575578
Binary 1001110100110011011010 (22 bits)
Octal 0o11646332
Hexadecimal 0x274CDA

Divisor Catalog (16)

1 2 3 6 197 394 591 1,182 2,179 4,358 6,537 13,074 429,263 858,526 1,287,789 2,575,578

Collatz Trajectory (112 steps to reach 1)

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

2,575,578 1,287,789 3,863,368 1,931,684 965,842 482,921 1,448,764 724,382 362,191 1,086,574 543,287 1,629,862 814,931 2,444,794 1,222,397 3,667,192 1,833,596 916,798 458,399 1,375,198 687,599 2,062,798 1,031,399 3,094,198 1,547,099 4,641,298 2,320,649 6,961,948 3,480,974 1,740,487 5,221,462 2,610,731 7,832,194 3,916,097 11,748,292 5,874,146 2,937,073 8,811,220 4,405,610 2,202,805 6,608,416 3,304,208 1,652,104 826,052 413,026 206,513 619,540 309,770 154,885 464,656 232,328 116,164 58,082 29,041 87,124 43,562 21,781 65,344 32,672 16,336

More profiles

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