λ
Harmonic Matrix

4,749,186

2 × 3 × 13 × 60887
Abundant Even Composite

4,749,186 has digital root 3. The neighboring primes are 4749179 and 4749191; its proper-divisor sum differs from the starting integer by 730,812.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 60887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,229,184
Proper Divisor Sum 5,479,998
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4749179 ← → #4749191

Radix Representation

Decimal 4749186
Binary 10010000111011110000010 (23 bits)
Octal 0o22073602
Hexadecimal 0x487782

Divisor Catalog (16)

1 2 3 6 13 26 39 78 60,887 121,774 182,661 365,322 791,531 1,583,062 2,374,593 4,749,186

Collatz Trajectory (100 steps to reach 1)

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

4,749,186 2,374,593 7,123,780 3,561,890 1,780,945 5,342,836 2,671,418 1,335,709 4,007,128 2,003,564 1,001,782 500,891 1,502,674 751,337 2,254,012 1,127,006 563,503 1,690,510 845,255 2,535,766 1,267,883 3,803,650 1,901,825 5,705,476 2,852,738 1,426,369 4,279,108 2,139,554 1,069,777 3,209,332 1,604,666 802,333 2,407,000 1,203,500 601,750 300,875 902,626 451,313 1,353,940 676,970 338,485 1,015,456 507,728 253,864 126,932 63,466 31,733 95,200 47,600 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130

More profiles

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