2,736,078

2 × 3 × 456013

Starting at 2,736,078, the Collatz iteration reaches 1 after 138 steps. The first transition is 1368039; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 456013

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,472,168

Proper Divisor Sum 2,736,090

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2736077 ← → #2736089

Radix Representation

Decimal	2736078
Binary	1010011011111111001110 (22 bits)
Octal	0o12337716
Hexadecimal	0x29BFCE

Divisor Catalog (8)

1 2 3 6 456,013 912,026 1,368,039 2,736,078

Collatz Trajectory (138 steps to reach 1)

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

2,736,078 1,368,039 4,104,118 2,052,059 6,156,178 3,078,089 9,234,268 4,617,134 2,308,567 6,925,702 3,462,851 10,388,554 5,194,277 15,582,832 7,791,416 3,895,708 1,947,854 973,927 2,921,782 1,460,891 4,382,674 2,191,337 6,574,012 3,287,006 1,643,503 4,930,510 2,465,255 7,395,766 3,697,883 11,093,650 5,546,825 16,640,476 8,320,238 4,160,119 12,480,358 6,240,179 18,720,538 9,360,269 28,080,808 14,040,404 7,020,202 3,510,101 10,530,304 5,265,152 2,632,576 1,316,288 658,144 329,072 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354

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