λ
Sigma Notebook

1,777,984

26 × 13 × 2137
Abundant Even Composite

1,777,984 is even and not a perfect square. Its factorization is 2^6 × 13 × 2137 and its 28 divisors sum to 3,801,364.

Prime Factor Structure

Factorization String 2^6 × 13 × 2137
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 3,801,364
Proper Divisor Sum 2,023,380
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #1777981 ← → #1778003

Radix Representation

Decimal 1777984
Binary 110110010000101000000 (21 bits)
Octal 0o6620500
Hexadecimal 0x1B2140

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 416 832 2,137 4,274 8,548 17,096 27,781 34,192 55,562 68,384 111,124 136,768 222,248 444,496 888,992 1,777,984

Collatz Trajectory (52 steps to reach 1)

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

1,777,984 888,992 444,496 222,248 111,124 55,562 27,781 83,344 41,672 20,836 10,418 5,209 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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