λ
Sigma Notebook

1,946,052

22 × 33 × 37 × 487
Abundant Even Composite

1,946,052 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 37 × 487 and its 48 divisors sum to 5,192,320.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 37 × 487
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,192,320
Proper Divisor Sum 3,246,268
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1946033 ← → #1946059

Radix Representation

Decimal 1946052
Binary 111011011000111000100 (21 bits)
Octal 0o7330704
Hexadecimal 0x1DB1C4

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 487 666 974 999 1,332 1,461 1,948 1,998 2,922 3,996 4,383 5,844 8,766 13,149 17,532 18,019 26,298 36,038 52,596 54,057 72,076 108,114 162,171 216,228 324,342 486,513 648,684 973,026 1,946,052

Collatz Trajectory (39 steps to reach 1)

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

1,946,052 973,026 486,513 1,459,540 729,770 364,885 1,094,656 547,328 273,664 136,832 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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