λ
Harmonic Matrix

6,399,821

6399821
Deficient Odd Prime

6,399,821 has digital root 2. The neighboring primes are 6399817 and 6399829; its proper-divisor sum differs from the starting integer by -6,399,820.

Prime Factor Structure

Factorization String 6399821
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,399,822
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6399817 ← → #6399829

Radix Representation

Decimal 6399821
Binary 11000011010011101001101 (23 bits)
Octal 0o30323515
Hexadecimal 0x61A74D

Divisor Catalog (2)

Collatz Trajectory (196 steps to reach 1)

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

6,399,821 19,199,464 9,599,732 4,799,866 2,399,933 7,199,800 3,599,900 1,799,950 899,975 2,699,926 1,349,963 4,049,890 2,024,945 6,074,836 3,037,418 1,518,709 4,556,128 2,278,064 1,139,032 569,516 284,758 142,379 427,138 213,569 640,708 320,354 160,177 480,532 240,266 120,133 360,400 180,200 90,100 45,050 22,525 67,576 33,788 16,894 8,447 25,342 12,671 38,014 19,007 57,022 28,511 85,534 42,767 128,302 64,151 192,454 96,227 288,682 144,341 433,024 216,512 108,256 54,128 27,064 13,532 6,766

More profiles

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