λ
Harmonic Matrix

3,082,420

22 × 5 × 11 × 14011
Abundant Even Composite

3,082,420 has digital root 1. The neighboring primes are 3082397 and 3082441; its proper-divisor sum differs from the starting integer by 897,208.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 14011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,062,048
Proper Divisor Sum 3,979,628
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3082397 ← → #3082441

Radix Representation

Decimal 3082420
Binary 1011110000100010110100 (22 bits)
Octal 0o13604264
Hexadecimal 0x2F08B4

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 14,011 28,022 56,044 70,055 140,110 154,121 280,220 308,242 616,484 770,605 1,541,210 3,082,420

Collatz Trajectory (195 steps to reach 1)

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

3,082,420 1,541,210 770,605 2,311,816 1,155,908 577,954 288,977 866,932 433,466 216,733 650,200 325,100 162,550 81,275 243,826 121,913 365,740 182,870 91,435 274,306 137,153 411,460 205,730 102,865 308,596 154,298 77,149 231,448 115,724 57,862 28,931 86,794 43,397 130,192 65,096 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260

More profiles

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