λ
Integer Codex

6,329,823

3 × 2109941
Deficient Odd Composite

For 6,329,823, the 4 positive divisors have a total of 8,439,768. Removing 6,329,823 leaves 2,109,945, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2109941
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,439,768
Proper Divisor Sum 2,109,945
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6329777 ← → #6329837

Radix Representation

Decimal 6329823
Binary 11000001001010111011111 (23 bits)
Octal 0o30112737
Hexadecimal 0x6095DF

Divisor Catalog (4)

1 3 2,109,941 6,329,823

Collatz Trajectory (165 steps to reach 1)

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

6,329,823 18,989,470 9,494,735 28,484,206 14,242,103 42,726,310 21,363,155 64,089,466 32,044,733 96,134,200 48,067,100 24,033,550 12,016,775 36,050,326 18,025,163 54,075,490 27,037,745 81,113,236 40,556,618 20,278,309 60,834,928 30,417,464 15,208,732 7,604,366 3,802,183 11,406,550 5,703,275 17,109,826 8,554,913 25,664,740 12,832,370 6,416,185 19,248,556 9,624,278 4,812,139 14,436,418 7,218,209 21,654,628 10,827,314 5,413,657 16,240,972 8,120,486 4,060,243 12,180,730 6,090,365 18,271,096 9,135,548 4,567,774 2,283,887 6,851,662 3,425,831 10,277,494 5,138,747 15,416,242 7,708,121 23,124,364 11,562,182 5,781,091 17,343,274 8,671,637

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