λ
Harmonic Matrix

4,162,649

31 × 47 × 2857
Deficient Odd Composite

4,162,649 has digital root 5. The neighboring primes are 4162591 and 4162657; its proper-divisor sum differs from the starting integer by -3,935,410.

Prime Factor Structure

Factorization String 31 × 47 × 2857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,389,888
Proper Divisor Sum 227,239
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4162591 ← → #4162657

Radix Representation

Decimal 4162649
Binary 1111111000010001011001 (22 bits)
Octal 0o17702131
Hexadecimal 0x3F8459

Divisor Catalog (8)

1 31 47 1,457 2,857 88,567 134,279 4,162,649

Collatz Trajectory (136 steps to reach 1)

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

4,162,649 12,487,948 6,243,974 3,121,987 9,365,962 4,682,981 14,048,944 7,024,472 3,512,236 1,756,118 878,059 2,634,178 1,317,089 3,951,268 1,975,634 987,817 2,963,452 1,481,726 740,863 2,222,590 1,111,295 3,333,886 1,666,943 5,000,830 2,500,415 7,501,246 3,750,623 11,251,870 5,625,935 16,877,806 8,438,903 25,316,710 12,658,355 37,975,066 18,987,533 56,962,600 28,481,300 14,240,650 7,120,325 21,360,976 10,680,488 5,340,244 2,670,122 1,335,061 4,005,184 2,002,592 1,001,296 500,648 250,324 125,162 62,581 187,744 93,872 46,936 23,468 11,734 5,867 17,602 8,801 26,404

More profiles

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