λ
Harmonic Matrix

6,185,727

34 × 76367
Deficient Odd Composite

6,185,727 has digital root 9. The neighboring primes are 6185723 and 6185731; its proper-divisor sum differs from the starting integer by -3,130,926.

Prime Factor Structure

Factorization String 3^4 × 76367
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 9,240,528
Proper Divisor Sum 3,054,801
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6185723 ← → #6185731

Radix Representation

Decimal 6185727
Binary 10111100110001011111111 (23 bits)
Octal 0o27461377
Hexadecimal 0x5E62FF

Divisor Catalog (10)

1 3 9 27 81 76,367 229,101 687,303 2,061,909 6,185,727

Collatz Trajectory (302 steps to reach 1)

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

6,185,727 18,557,182 9,278,591 27,835,774 13,917,887 41,753,662 20,876,831 62,630,494 31,315,247 93,945,742 46,972,871 140,918,614 70,459,307 211,377,922 105,688,961 317,066,884 158,533,442 79,266,721 237,800,164 118,900,082 59,450,041 178,350,124 89,175,062 44,587,531 133,762,594 66,881,297 200,643,892 100,321,946 50,160,973 150,482,920 75,241,460 37,620,730 18,810,365 56,431,096 28,215,548 14,107,774 7,053,887 21,161,662 10,580,831 31,742,494 15,871,247 47,613,742 23,806,871 71,420,614 35,710,307 107,130,922 53,565,461 160,696,384 80,348,192 40,174,096 20,087,048 10,043,524 5,021,762 2,510,881 7,532,644 3,766,322 1,883,161 5,649,484 2,824,742 1,412,371

More profiles

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