λ
Harmonic Matrix

3,003,563

53 × 56671
Deficient Odd Composite

3,003,563 has digital root 2. The neighboring primes are 3003557 and 3003569; its proper-divisor sum differs from the starting integer by -2,946,838.

Prime Factor Structure

Factorization String 53 × 56671
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,060,288
Proper Divisor Sum 56,725
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3003557 ← → #3003569

Radix Representation

Decimal 3003563
Binary 1011011101010010101011 (22 bits)
Octal 0o13352253
Hexadecimal 0x2DD4AB

Divisor Catalog (4)

1 53 56,671 3,003,563

Collatz Trajectory (138 steps to reach 1)

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

3,003,563 9,010,690 4,505,345 13,516,036 6,758,018 3,379,009 10,137,028 5,068,514 2,534,257 7,602,772 3,801,386 1,900,693 5,702,080 2,851,040 1,425,520 712,760 356,380 178,190 89,095 267,286 133,643 400,930 200,465 601,396 300,698 150,349 451,048 225,524 112,762 56,381 169,144 84,572 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

More profiles

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