λ
Sequence Observatory

2,740,776

23 × 3 × 114199
Abundant Even Composite

Starting at 2,740,776, the Collatz iteration reaches 1 after 63 steps. The first transition is 1370388; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 114199
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,852,000
Proper Divisor Sum 4,111,224
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2740763 ← → #2740799

Radix Representation

Decimal 2740776
Binary 1010011101001000101000 (22 bits)
Octal 0o12351050
Hexadecimal 0x29D228

Divisor Catalog (16)

1 2 3 4 6 8 12 24 114,199 228,398 342,597 456,796 685,194 913,592 1,370,388 2,740,776

Collatz Trajectory (63 steps to reach 1)

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

2,740,776 1,370,388 685,194 342,597 1,027,792 513,896 256,948 128,474 64,237 192,712 96,356 48,178 24,089 72,268 36,134 18,067 54,202 27,101 81,304 40,652 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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