λ
Harmonic Matrix

5,500,172

22 × 1375043
Deficient Even Composite

5,500,172 has digital root 2. The neighboring primes are 5500171 and 5500193; its proper-divisor sum differs from the starting integer by -1,375,036.

Prime Factor Structure

Factorization String 2^2 × 1375043
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,625,308
Proper Divisor Sum 4,125,136
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5500171 ← → #5500193

Radix Representation

Decimal 5500172
Binary 10100111110110100001100 (23 bits)
Octal 0o24766414
Hexadecimal 0x53ED0C

Divisor Catalog (6)

1 2 4 1,375,043 2,750,086 5,500,172

Collatz Trajectory (170 steps to reach 1)

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

5,500,172 2,750,086 1,375,043 4,125,130 2,062,565 6,187,696 3,093,848 1,546,924 773,462 386,731 1,160,194 580,097 1,740,292 870,146 435,073 1,305,220 652,610 326,305 978,916 489,458 244,729 734,188 367,094 183,547 550,642 275,321 825,964 412,982 206,491 619,474 309,737 929,212 464,606 232,303 696,910 348,455 1,045,366 522,683 1,568,050 784,025 2,352,076 1,176,038 588,019 1,764,058 882,029 2,646,088 1,323,044 661,522 330,761 992,284 496,142 248,071 744,214 372,107 1,116,322 558,161 1,674,484 837,242 418,621 1,255,864

More profiles

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