λ
Harmonic Matrix

2,575,569

3 × 389 × 2207
Deficient Odd Composite

2,575,569 has digital root 3. The neighboring primes are 2575549 and 2575589; its proper-divisor sum differs from the starting integer by -1,706,658.

Prime Factor Structure

Factorization String 3 × 389 × 2207
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,444,480
Proper Divisor Sum 868,911
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2575549 ← → #2575589

Radix Representation

Decimal 2575569
Binary 1001110100110011010001 (22 bits)
Octal 0o11646321
Hexadecimal 0x274CD1

Divisor Catalog (8)

1 3 389 1,167 2,207 6,621 858,523 2,575,569

Collatz Trajectory (125 steps to reach 1)

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

2,575,569 7,726,708 3,863,354 1,931,677 5,795,032 2,897,516 1,448,758 724,379 2,173,138 1,086,569 3,259,708 1,629,854 814,927 2,444,782 1,222,391 3,667,174 1,833,587 5,500,762 2,750,381 8,251,144 4,125,572 2,062,786 1,031,393 3,094,180 1,547,090 773,545 2,320,636 1,160,318 580,159 1,740,478 870,239 2,610,718 1,305,359 3,916,078 1,958,039 5,874,118 2,937,059 8,811,178 4,405,589 13,216,768 6,608,384 3,304,192 1,652,096 826,048 413,024 206,512 103,256 51,628 25,814 12,907 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337

More profiles

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