λ
Harmonic Matrix

8,040,322

2 × 37 × 179 × 607
Deficient Even Composite

8,040,322 has digital root 1. The neighboring primes are 8040311 and 8040323; its proper-divisor sum differs from the starting integer by -3,604,484.

Prime Factor Structure

Factorization String 2 × 37 × 179 × 607
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,476,160
Proper Divisor Sum 4,435,838
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #8040311 ← → #8040323

Radix Representation

Decimal 8040322
Binary 11110101010111110000010 (23 bits)
Octal 0o36527602
Hexadecimal 0x7AAF82

Divisor Catalog (16)

1 2 37 74 179 358 607 1,214 6,623 13,246 22,459 44,918 108,653 217,306 4,020,161 8,040,322

Collatz Trajectory (137 steps to reach 1)

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

8,040,322 4,020,161 12,060,484 6,030,242 3,015,121 9,045,364 4,522,682 2,261,341 6,784,024 3,392,012 1,696,006 848,003 2,544,010 1,272,005 3,816,016 1,908,008 954,004 477,002 238,501 715,504 357,752 178,876 89,438 44,719 134,158 67,079 201,238 100,619 301,858 150,929 452,788 226,394 113,197 339,592 169,796 84,898 42,449 127,348 63,674 31,837 95,512 47,756 23,878 11,939 35,818 17,909 53,728 26,864 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504

More profiles

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