λ
Harmonic Matrix

5,040,867

3 × 13 × 29 × 4457
Deficient Odd Composite

5,040,867 has digital root 3. The neighboring primes are 5040853 and 5040899; its proper-divisor sum differs from the starting integer by -2,592,294.

Prime Factor Structure

Factorization String 3 × 13 × 29 × 4457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,489,440
Proper Divisor Sum 2,448,573
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5040853 ← → #5040899

Radix Representation

Decimal 5040867
Binary 10011001110101011100011 (23 bits)
Octal 0o23165343
Hexadecimal 0x4CEAE3

Divisor Catalog (16)

1 3 13 29 39 87 377 1,131 4,457 13,371 57,941 129,253 173,823 387,759 1,680,289 5,040,867

Collatz Trajectory (206 steps to reach 1)

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

5,040,867 15,122,602 7,561,301 22,683,904 11,341,952 5,670,976 2,835,488 1,417,744 708,872 354,436 177,218 88,609 265,828 132,914 66,457 199,372 99,686 49,843 149,530 74,765 224,296 112,148 56,074 28,037 84,112 42,056 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909

More profiles

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