λ
Sigma Notebook

2,051,766

2 × 32 × 31 × 3677
Abundant Even Composite

2,051,766 is even and not a perfect square. Its factorization is 2 × 3^2 × 31 × 3677 and its 24 divisors sum to 4,590,144.

Prime Factor Structure

Factorization String 2 × 3^2 × 31 × 3677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,590,144
Proper Divisor Sum 2,538,378
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2051759 ← → #2051767

Radix Representation

Decimal 2051766
Binary 111110100111010110110 (21 bits)
Octal 0o7647266
Hexadecimal 0x1F4EB6

Divisor Catalog (24)

1 2 3 6 9 18 31 62 93 186 279 558 3,677 7,354 11,031 22,062 33,093 66,186 113,987 227,974 341,961 683,922 1,025,883 2,051,766

Collatz Trajectory (215 steps to reach 1)

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

2,051,766 1,025,883 3,077,650 1,538,825 4,616,476 2,308,238 1,154,119 3,462,358 1,731,179 5,193,538 2,596,769 7,790,308 3,895,154 1,947,577 5,842,732 2,921,366 1,460,683 4,382,050 2,191,025 6,573,076 3,286,538 1,643,269 4,929,808 2,464,904 1,232,452 616,226 308,113 924,340 462,170 231,085 693,256 346,628 173,314 86,657 259,972 129,986 64,993 194,980 97,490 48,745 146,236 73,118 36,559 109,678 54,839 164,518 82,259 246,778 123,389 370,168 185,084 92,542 46,271 138,814 69,407 208,222 104,111 312,334 156,167 468,502

More profiles

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