λ
Harmonic Matrix

2,563,645

5 × 7 × 89 × 823
Deficient Odd Composite

2,563,645 has digital root 4. The neighboring primes are 2563643 and 2563657; its proper-divisor sum differs from the starting integer by -1,567,610.

Prime Factor Structure

Factorization String 5 × 7 × 89 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,559,680
Proper Divisor Sum 996,035
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2563643 ← → #2563657

Radix Representation

Decimal 2563645
Binary 1001110001111000111101 (22 bits)
Octal 0o11617075
Hexadecimal 0x271E3D

Divisor Catalog (16)

1 5 7 35 89 445 623 823 3,115 4,115 5,761 28,805 73,247 366,235 512,729 2,563,645

Collatz Trajectory (249 steps to reach 1)

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

2,563,645 7,690,936 3,845,468 1,922,734 961,367 2,884,102 1,442,051 4,326,154 2,163,077 6,489,232 3,244,616 1,622,308 811,154 405,577 1,216,732 608,366 304,183 912,550 456,275 1,368,826 684,413 2,053,240 1,026,620 513,310 256,655 769,966 384,983 1,154,950 577,475 1,732,426 866,213 2,598,640 1,299,320 649,660 324,830 162,415 487,246 243,623 730,870 365,435 1,096,306 548,153 1,644,460 822,230 411,115 1,233,346 616,673 1,850,020 925,010 462,505 1,387,516 693,758 346,879 1,040,638 520,319 1,560,958 780,479 2,341,438 1,170,719 3,512,158

More profiles

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