λ
Harmonic Matrix

4,061,085

3 × 5 × 7 × 38677
Deficient Odd Composite

4,061,085 has digital root 6. The neighboring primes are 4061081 and 4061137; its proper-divisor sum differs from the starting integer by -695,994.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 38677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,426,176
Proper Divisor Sum 3,365,091
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4061081 ← → #4061137

Radix Representation

Decimal 4061085
Binary 1111011111011110011101 (22 bits)
Octal 0o17373635
Hexadecimal 0x3DF79D

Divisor Catalog (16)

1 3 5 7 15 21 35 105 38,677 116,031 193,385 270,739 580,155 812,217 1,353,695 4,061,085

Collatz Trajectory (136 steps to reach 1)

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

4,061,085 12,183,256 6,091,628 3,045,814 1,522,907 4,568,722 2,284,361 6,853,084 3,426,542 1,713,271 5,139,814 2,569,907 7,709,722 3,854,861 11,564,584 5,782,292 2,891,146 1,445,573 4,336,720 2,168,360 1,084,180 542,090 271,045 813,136 406,568 203,284 101,642 50,821 152,464 76,232 38,116 19,058 9,529 28,588 14,294 7,147 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295

More profiles

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