λ
Sequence Observatory

7,278,134

2 × 3639067
Deficient Even Composite

Starting at 7,278,134, the Collatz iteration reaches 1 after 297 steps. The first transition is 3639067; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3639067
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,917,204
Proper Divisor Sum 3,639,070
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7278133 ← → #7278151

Radix Representation

Decimal 7278134
Binary 11011110000111000110110 (23 bits)
Octal 0o33607066
Hexadecimal 0x6F0E36

Divisor Catalog (4)

1 2 3,639,067 7,278,134

Collatz Trajectory (297 steps to reach 1)

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

7,278,134 3,639,067 10,917,202 5,458,601 16,375,804 8,187,902 4,093,951 12,281,854 6,140,927 18,422,782 9,211,391 27,634,174 13,817,087 41,451,262 20,725,631 62,176,894 31,088,447 93,265,342 46,632,671 139,898,014 69,949,007 209,847,022 104,923,511 314,770,534 157,385,267 472,155,802 236,077,901 708,233,704 354,116,852 177,058,426 88,529,213 265,587,640 132,793,820 66,396,910 33,198,455 99,595,366 49,797,683 149,393,050 74,696,525 224,089,576 112,044,788 56,022,394 28,011,197 84,033,592 42,016,796 21,008,398 10,504,199 31,512,598 15,756,299 47,268,898 23,634,449 70,903,348 35,451,674 17,725,837 53,177,512 26,588,756 13,294,378 6,647,189 19,941,568 9,970,784

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