λ
Harmonic Matrix

2,383,764

22 × 3 × 198647
Abundant Even Composite

2,383,764 has digital root 6. The neighboring primes are 2383763 and 2383811; its proper-divisor sum differs from the starting integer by 794,616.

Prime Factor Structure

Factorization String 2^2 × 3 × 198647
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,562,144
Proper Divisor Sum 3,178,380
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2383763 ← → #2383811

Radix Representation

Decimal 2383764
Binary 1001000101111110010100 (22 bits)
Octal 0o11057624
Hexadecimal 0x245F94

Divisor Catalog (12)

1 2 3 4 6 12 198,647 397,294 595,941 794,588 1,191,882 2,383,764

Collatz Trajectory (143 steps to reach 1)

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

2,383,764 1,191,882 595,941 1,787,824 893,912 446,956 223,478 111,739 335,218 167,609 502,828 251,414 125,707 377,122 188,561 565,684 282,842 141,421 424,264 212,132 106,066 53,033 159,100 79,550 39,775 119,326 59,663 178,990 89,495 268,486 134,243 402,730 201,365 604,096 302,048 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122

More profiles

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