λ
Sequence Observatory

2,753,716

22 × 7 × 98347
Abundant Even Composite

Starting at 2,753,716, the Collatz iteration reaches 1 after 81 steps. The first transition is 1376858; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 98347
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,507,488
Proper Divisor Sum 2,753,772
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2753693 ← → #2753719

Radix Representation

Decimal 2753716
Binary 1010100000010010110100 (22 bits)
Octal 0o12402264
Hexadecimal 0x2A04B4

Divisor Catalog (12)

1 2 4 7 14 28 98,347 196,694 393,388 688,429 1,376,858 2,753,716

Collatz Trajectory (81 steps to reach 1)

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

2,753,716 1,376,858 688,429 2,065,288 1,032,644 516,322 258,161 774,484 387,242 193,621 580,864 290,432 145,216 72,608 36,304 18,152 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488

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