λ
Sigma Notebook

2,734,078

2 × 37 × 36947
Deficient Even Composite

2,734,078 is even and not a perfect square. Its factorization is 2 × 37 × 36947 and its 8 divisors sum to 4,212,072.

Prime Factor Structure

Factorization String 2 × 37 × 36947
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,212,072
Proper Divisor Sum 1,477,994
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2734027 ← → #2734097

Radix Representation

Decimal 2734078
Binary 1010011011011111111110 (22 bits)
Octal 0o12333776
Hexadecimal 0x29B7FE

Divisor Catalog (8)

1 2 37 74 36,947 73,894 1,367,039 2,734,078

Collatz Trajectory (337 steps to reach 1)

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

2,734,078 1,367,039 4,101,118 2,050,559 6,151,678 3,075,839 9,227,518 4,613,759 13,841,278 6,920,639 20,761,918 10,380,959 31,142,878 15,571,439 46,714,318 23,357,159 70,071,478 35,035,739 105,107,218 52,553,609 157,660,828 78,830,414 39,415,207 118,245,622 59,122,811 177,368,434 88,684,217 266,052,652 133,026,326 66,513,163 199,539,490 99,769,745 299,309,236 149,654,618 74,827,309 224,481,928 112,240,964 56,120,482 28,060,241 84,180,724 42,090,362 21,045,181 63,135,544 31,567,772 15,783,886 7,891,943 23,675,830 11,837,915 35,513,746 17,756,873 53,270,620 26,635,310 13,317,655 39,952,966 19,976,483 59,929,450 29,964,725 89,894,176 44,947,088 22,473,544

More profiles

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