λ
Harmonic Matrix

2,560,552

23 × 101 × 3169
Deficient Even Composite

2,560,552 has digital root 7. The neighboring primes are 2560549 and 2560583; its proper-divisor sum differs from the starting integer by -271,004.

Prime Factor Structure

Factorization String 2^3 × 101 × 3169
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,850,100
Proper Divisor Sum 2,289,548
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2560549 ← → #2560583

Radix Representation

Decimal 2560552
Binary 1001110001001000101000 (22 bits)
Octal 0o11611050
Hexadecimal 0x271228

Divisor Catalog (16)

1 2 4 8 101 202 404 808 3,169 6,338 12,676 25,352 320,069 640,138 1,280,276 2,560,552

Collatz Trajectory (99 steps to reach 1)

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

2,560,552 1,280,276 640,138 320,069 960,208 480,104 240,052 120,026 60,013 180,040 90,020 45,010 22,505 67,516 33,758 16,879 50,638 25,319 75,958 37,979 113,938 56,969 170,908 85,454 42,727 128,182 64,091 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244

More profiles

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