λ
Harmonic Matrix

2,576,346

2 × 3 × 107 × 4013
Abundant Even Composite

2,576,346 has digital root 6. The neighboring primes are 2576341 and 2576363; its proper-divisor sum differs from the starting integer by 49,452.

Prime Factor Structure

Factorization String 2 × 3 × 107 × 4013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,202,144
Proper Divisor Sum 2,625,798
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2576341 ← → #2576363

Radix Representation

Decimal 2576346
Binary 1001110100111111011010 (22 bits)
Octal 0o11647732
Hexadecimal 0x274FDA

Divisor Catalog (16)

1 2 3 6 107 214 321 642 4,013 8,026 12,039 24,078 429,391 858,782 1,288,173 2,576,346

Collatz Trajectory (125 steps to reach 1)

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

2,576,346 1,288,173 3,864,520 1,932,260 966,130 483,065 1,449,196 724,598 362,299 1,086,898 543,449 1,630,348 815,174 407,587 1,222,762 611,381 1,834,144 917,072 458,536 229,268 114,634 57,317 171,952 85,976 42,988 21,494 10,747 32,242 16,121 48,364 24,182 12,091 36,274 18,137 54,412 27,206 13,603 40,810 20,405 61,216 30,608 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360

More profiles

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