λ
Harmonic Matrix

3,081,766

2 × 1201 × 1283
Deficient Even Composite

3,081,766 has digital root 4. The neighboring primes are 3081763 and 3081779; its proper-divisor sum differs from the starting integer by -1,533,428.

Prime Factor Structure

Factorization String 2 × 1201 × 1283
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,630,104
Proper Divisor Sum 1,548,338
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3081763 ← → #3081779

Radix Representation

Decimal 3081766
Binary 1011110000011000100110 (22 bits)
Octal 0o13603046
Hexadecimal 0x2F0626

Divisor Catalog (8)

1 2 1,201 1,283 2,402 2,566 1,540,883 3,081,766

Collatz Trajectory (187 steps to reach 1)

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

3,081,766 1,540,883 4,622,650 2,311,325 6,933,976 3,466,988 1,733,494 866,747 2,600,242 1,300,121 3,900,364 1,950,182 975,091 2,925,274 1,462,637 4,387,912 2,193,956 1,096,978 548,489 1,645,468 822,734 411,367 1,234,102 617,051 1,851,154 925,577 2,776,732 1,388,366 694,183 2,082,550 1,041,275 3,123,826 1,561,913 4,685,740 2,342,870 1,171,435 3,514,306 1,757,153 5,271,460 2,635,730 1,317,865 3,953,596 1,976,798 988,399 2,965,198 1,482,599 4,447,798 2,223,899 6,671,698 3,335,849 10,007,548 5,003,774 2,501,887 7,505,662 3,752,831 11,258,494 5,629,247 16,887,742 8,443,871 25,331,614

More profiles

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