λ
Sigma Notebook

6,128,205

3 × 5 × 199 × 2053
Deficient Odd Composite

6,128,205 is odd and not a perfect square. Its factorization is 3 × 5 × 199 × 2053 and its 16 divisors sum to 9,859,200.

Prime Factor Structure

Factorization String 3 × 5 × 199 × 2053
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,859,200
Proper Divisor Sum 3,730,995
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6128201 ← → #6128207

Radix Representation

Decimal 6128205
Binary 10111011000001001001101 (23 bits)
Octal 0o27301115
Hexadecimal 0x5D824D

Divisor Catalog (16)

1 3 5 15 199 597 995 2,053 2,985 6,159 10,265 30,795 408,547 1,225,641 2,042,735 6,128,205

Collatz Trajectory (64 steps to reach 1)

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

6,128,205 18,384,616 9,192,308 4,596,154 2,298,077 6,894,232 3,447,116 1,723,558 861,779 2,585,338 1,292,669 3,878,008 1,939,004 969,502 484,751 1,454,254 727,127 2,181,382 1,090,691 3,272,074 1,636,037 4,908,112 2,454,056 1,227,028 613,514 306,757 920,272 460,136 230,068 115,034 57,517 172,552 86,276 43,138 21,569 64,708 32,354 16,177 48,532 24,266 12,133 36,400 18,200 9,100 4,550 2,275 6,826 3,413 10,240 5,120 2,560 1,280 640 320 160 80 40 20 10 5

More profiles

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