λ
Harmonic Matrix

2,382,365

5 × 227 × 2099
Deficient Odd Composite

2,382,365 has digital root 2. The neighboring primes are 2382337 and 2382371; its proper-divisor sum differs from the starting integer by -1,891,930.

Prime Factor Structure

Factorization String 5 × 227 × 2099
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,872,800
Proper Divisor Sum 490,435
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2382337 ← → #2382371

Radix Representation

Decimal 2382365
Binary 1001000101101000011101 (22 bits)
Octal 0o11055035
Hexadecimal 0x245A1D

Divisor Catalog (8)

1 5 227 1,135 2,099 10,495 476,473 2,382,365

Collatz Trajectory (267 steps to reach 1)

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

2,382,365 7,147,096 3,573,548 1,786,774 893,387 2,680,162 1,340,081 4,020,244 2,010,122 1,005,061 3,015,184 1,507,592 753,796 376,898 188,449 565,348 282,674 141,337 424,012 212,006 106,003 318,010 159,005 477,016 238,508 119,254 59,627 178,882 89,441 268,324 134,162 67,081 201,244 100,622 50,311 150,934 75,467 226,402 113,201 339,604 169,802 84,901 254,704 127,352 63,676 31,838 15,919 47,758 23,879 71,638 35,819 107,458 53,729 161,188 80,594 40,297 120,892 60,446 30,223 90,670

More profiles

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