λ
Harmonic Matrix

5,600,024

23 × 37 × 18919
Deficient Even Composite

5,600,024 has digital root 8. The neighboring primes are 5599999 and 5600027; its proper-divisor sum differs from the starting integer by -415,648.

Prime Factor Structure

Factorization String 2^3 × 37 × 18919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,784,400
Proper Divisor Sum 5,184,376
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5599999 ← → #5600027

Radix Representation

Decimal 5600024
Binary 10101010111001100011000 (23 bits)
Octal 0o25271430
Hexadecimal 0x557318

Divisor Catalog (16)

1 2 4 8 37 74 148 296 18,919 37,838 75,676 151,352 700,003 1,400,006 2,800,012 5,600,024

Collatz Trajectory (95 steps to reach 1)

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

5,600,024 2,800,012 1,400,006 700,003 2,100,010 1,050,005 3,150,016 1,575,008 787,504 393,752 196,876 98,438 49,219 147,658 73,829 221,488 110,744 55,372 27,686 13,843 41,530 20,765 62,296 31,148 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923

More profiles

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