λ
Sigma Notebook

2,734,656

26 × 3 × 14243
Abundant Even Composite

2,734,656 is even and not a perfect square. Its factorization is 2^6 × 3 × 14243 and its 28 divisors sum to 7,235,952.

Prime Factor Structure

Factorization String 2^6 × 3 × 14243
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 7,235,952
Proper Divisor Sum 4,501,296
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2734643 ← → #2734663

Radix Representation

Decimal 2734656
Binary 1010011011101001000000 (22 bits)
Octal 0o12335100
Hexadecimal 0x29BA40

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 14,243 28,486 42,729 56,972 85,458 113,944 170,916 227,888 341,832 455,776 683,664 911,552 1,367,328 2,734,656

Collatz Trajectory (81 steps to reach 1)

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

2,734,656 1,367,328 683,664 341,832 170,916 85,458 42,729 128,188 64,094 32,047 96,142 48,071 144,214 72,107 216,322 108,161 324,484 162,242 81,121 243,364 121,682 60,841 182,524 91,262 45,631 136,894 68,447 205,342 102,671 308,014 154,007 462,022 231,011 693,034 346,517 1,039,552 519,776 259,888 129,944 64,972 32,486 16,243 48,730 24,365 73,096 36,548 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482

More profiles

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