λ
Harmonic Matrix

5,501,168

24 × 343823
Deficient Even Composite

5,501,168 has digital root 8. The neighboring primes are 5501159 and 5501173; its proper-divisor sum differs from the starting integer by -343,792.

Prime Factor Structure

Factorization String 2^4 × 343823
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 10,658,544
Proper Divisor Sum 5,157,376
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5501159 ← → #5501173

Radix Representation

Decimal 5501168
Binary 10100111111000011110000 (23 bits)
Octal 0o24770360
Hexadecimal 0x53F0F0

Divisor Catalog (10)

1 2 4 8 16 343,823 687,646 1,375,292 2,750,584 5,501,168

Collatz Trajectory (139 steps to reach 1)

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

5,501,168 2,750,584 1,375,292 687,646 343,823 1,031,470 515,735 1,547,206 773,603 2,320,810 1,160,405 3,481,216 1,740,608 870,304 435,152 217,576 108,788 54,394 27,197 81,592 40,796 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910

More profiles

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