λ
Harmonic Matrix

6,120,694

2 × 857 × 3571
Deficient Even Composite

6,120,694 has digital root 1. The neighboring primes are 6120689 and 6120703; its proper-divisor sum differs from the starting integer by -3,047,060.

Prime Factor Structure

Factorization String 2 × 857 × 3571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,194,328
Proper Divisor Sum 3,073,634
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6120689 ← → #6120703

Radix Representation

Decimal 6120694
Binary 10111010110010011110110 (23 bits)
Octal 0o27262366
Hexadecimal 0x5D64F6

Divisor Catalog (8)

1 2 857 1,714 3,571 7,142 3,060,347 6,120,694

Collatz Trajectory (289 steps to reach 1)

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

6,120,694 3,060,347 9,181,042 4,590,521 13,771,564 6,885,782 3,442,891 10,328,674 5,164,337 15,493,012 7,746,506 3,873,253 11,619,760 5,809,880 2,904,940 1,452,470 726,235 2,178,706 1,089,353 3,268,060 1,634,030 817,015 2,451,046 1,225,523 3,676,570 1,838,285 5,514,856 2,757,428 1,378,714 689,357 2,068,072 1,034,036 517,018 258,509 775,528 387,764 193,882 96,941 290,824 145,412 72,706 36,353 109,060 54,530 27,265 81,796 40,898 20,449 61,348 30,674 15,337 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825

More profiles

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