λ
Harmonic Matrix

8,731,774

2 × 4365887
Deficient Even Composite

8,731,774 has digital root 1. The neighboring primes are 8731763 and 8731777; its proper-divisor sum differs from the starting integer by -4,365,884.

Prime Factor Structure

Factorization String 2 × 4365887
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,097,664
Proper Divisor Sum 4,365,890
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8731763 ← → #8731777

Radix Representation

Decimal 8731774
Binary 100001010011110001111110 (24 bits)
Octal 0o41236176
Hexadecimal 0x853C7E

Divisor Catalog (4)

1 2 4,365,887 8,731,774

Collatz Trajectory (287 steps to reach 1)

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

8,731,774 4,365,887 13,097,662 6,548,831 19,646,494 9,823,247 29,469,742 14,734,871 44,204,614 22,102,307 66,306,922 33,153,461 99,460,384 49,730,192 24,865,096 12,432,548 6,216,274 3,108,137 9,324,412 4,662,206 2,331,103 6,993,310 3,496,655 10,489,966 5,244,983 15,734,950 7,867,475 23,602,426 11,801,213 35,403,640 17,701,820 8,850,910 4,425,455 13,276,366 6,638,183 19,914,550 9,957,275 29,871,826 14,935,913 44,807,740 22,403,870 11,201,935 33,605,806 16,802,903 50,408,710 25,204,355 75,613,066 37,806,533 113,419,600 56,709,800 28,354,900 14,177,450 7,088,725 21,266,176 10,633,088 5,316,544 2,658,272 1,329,136 664,568 332,284

More profiles

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