λ
Harmonic Matrix

5,226,050

2 × 52 × 127 × 823
Deficient Even Composite

5,226,050 has digital root 2. The neighboring primes are 5226049 and 5226077; its proper-divisor sum differs from the starting integer by -643,204.

Prime Factor Structure

Factorization String 2 × 5^2 × 127 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,808,896
Proper Divisor Sum 4,582,846
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5226049 ← → #5226077

Radix Representation

Decimal 5226050
Binary 10011111011111001000010 (23 bits)
Octal 0o23737102
Hexadecimal 0x4FBE42

Divisor Catalog (24)

1 2 5 10 25 50 127 254 635 823 1,270 1,646 3,175 4,115 6,350 8,230 20,575 41,150 104,521 209,042 522,605 1,045,210 2,613,025 5,226,050

Collatz Trajectory (95 steps to reach 1)

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

5,226,050 2,613,025 7,839,076 3,919,538 1,959,769 5,879,308 2,939,654 1,469,827 4,409,482 2,204,741 6,614,224 3,307,112 1,653,556 826,778 413,389 1,240,168 620,084 310,042 155,021 465,064 232,532 116,266 58,133 174,400 87,200 43,600 21,800 10,900 5,450 2,725 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524 14,762 7,381 22,144 11,072 5,536

More profiles

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