λ
Sigma Notebook

2,140,011

32 × 17 × 71 × 197
Deficient Odd Composite

2,140,011 is odd and not a perfect square. Its factorization is 3^2 × 17 × 71 × 197 and its 24 divisors sum to 3,335,904.

Prime Factor Structure

Factorization String 3^2 × 17 × 71 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,335,904
Proper Divisor Sum 1,195,893
Digit Sum / Digital Root 9 (Root: 9)
Adjacent Primes #2140007 ← → #2140013

Radix Representation

Decimal 2140011
Binary 1000001010011101101011 (22 bits)
Octal 0o10123553
Hexadecimal 0x20A76B

Divisor Catalog (24)

1 3 9 17 51 71 153 197 213 591 639 1,207 1,773 3,349 3,621 10,047 10,863 13,987 30,141 41,961 125,883 237,779 713,337 2,140,011

Collatz Trajectory (122 steps to reach 1)

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

2,140,011 6,420,034 3,210,017 9,630,052 4,815,026 2,407,513 7,222,540 3,611,270 1,805,635 5,416,906 2,708,453 8,125,360 4,062,680 2,031,340 1,015,670 507,835 1,523,506 761,753 2,285,260 1,142,630 571,315 1,713,946 856,973 2,570,920 1,285,460 642,730 321,365 964,096 482,048 241,024 120,512 60,256 30,128 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588

More profiles

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