λ
Harmonic Matrix

6,185,349

33 × 107 × 2141
Deficient Odd Composite

6,185,349 has digital root 9. The neighboring primes are 6185303 and 6185353; its proper-divisor sum differs from the starting integer by -3,117,258.

Prime Factor Structure

Factorization String 3^3 × 107 × 2141
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,253,440
Proper Divisor Sum 3,068,091
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6185303 ← → #6185353

Radix Representation

Decimal 6185349
Binary 10111100110000110000101 (23 bits)
Octal 0o27460605
Hexadecimal 0x5E6185

Divisor Catalog (16)

1 3 9 27 107 321 963 2,141 2,889 6,423 19,269 57,807 229,087 687,261 2,061,783 6,185,349

Collatz Trajectory (103 steps to reach 1)

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

6,185,349 18,556,048 9,278,024 4,639,012 2,319,506 1,159,753 3,479,260 1,739,630 869,815 2,609,446 1,304,723 3,914,170 1,957,085 5,871,256 2,935,628 1,467,814 733,907 2,201,722 1,100,861 3,302,584 1,651,292 825,646 412,823 1,238,470 619,235 1,857,706 928,853 2,786,560 1,393,280 696,640 348,320 174,160 87,080 43,540 21,770 10,885 32,656 16,328 8,164 4,082 2,041 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091

More profiles

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