λ
Sigma Notebook

6,828,830

2 × 5 × 43 × 15881
Deficient Even Composite

6,828,830 is even and not a perfect square. Its factorization is 2 × 5 × 43 × 15881 and its 16 divisors sum to 12,578,544.

Prime Factor Structure

Factorization String 2 × 5 × 43 × 15881
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,578,544
Proper Divisor Sum 5,749,714
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6828827 ← → #6828853

Radix Representation

Decimal 6828830
Binary 11010000011001100011110 (23 bits)
Octal 0o32031436
Hexadecimal 0x68331E

Divisor Catalog (16)

1 2 5 10 43 86 215 430 15,881 31,762 79,405 158,810 682,883 1,365,766 3,414,415 6,828,830

Collatz Trajectory (85 steps to reach 1)

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

6,828,830 3,414,415 10,243,246 5,121,623 15,364,870 7,682,435 23,047,306 11,523,653 34,570,960 17,285,480 8,642,740 4,321,370 2,160,685 6,482,056 3,241,028 1,620,514 810,257 2,430,772 1,215,386 607,693 1,823,080 911,540 455,770 227,885 683,656 341,828 170,914 85,457 256,372 128,186 64,093 192,280 96,140 48,070 24,035 72,106 36,053 108,160 54,080 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202

More profiles

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