λ
Harmonic Matrix

6,321,787

53 × 181 × 659
Deficient Odd Composite

6,321,787 has digital root 7. The neighboring primes are 6321767 and 6321793; its proper-divisor sum differs from the starting integer by -6,157,094.

Prime Factor Structure

Factorization String 53 × 181 × 659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,486,480
Proper Divisor Sum 164,693
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6321767 ← → #6321793

Radix Representation

Decimal 6321787
Binary 11000000111011001111011 (23 bits)
Octal 0o30073173
Hexadecimal 0x60767B

Divisor Catalog (8)

1 53 181 659 9,593 34,927 119,279 6,321,787

Collatz Trajectory (152 steps to reach 1)

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

6,321,787 18,965,362 9,482,681 28,448,044 14,224,022 7,112,011 21,336,034 10,668,017 32,004,052 16,002,026 8,001,013 24,003,040 12,001,520 6,000,760 3,000,380 1,500,190 750,095 2,250,286 1,125,143 3,375,430 1,687,715 5,063,146 2,531,573 7,594,720 3,797,360 1,898,680 949,340 474,670 237,335 712,006 356,003 1,068,010 534,005 1,602,016 801,008 400,504 200,252 100,126 50,063 150,190 75,095 225,286 112,643 337,930 168,965 506,896 253,448 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464 26,732 13,366 6,683

More profiles

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