λ
Sigma Notebook

2,975,784

23 × 3 × 7 × 17713
Abundant Even Composite

2,975,784 is even and not a perfect square. Its factorization is 2^3 × 3 × 7 × 17713 and its 32 divisors sum to 8,502,720.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 17713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,502,720
Proper Divisor Sum 5,526,936
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2975779 ← → #2975801

Radix Representation

Decimal 2975784
Binary 1011010110100000101000 (22 bits)
Octal 0o13264050
Hexadecimal 0x2D6828

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 17,713 35,426 53,139 70,852 106,278 123,991 141,704 212,556 247,982 371,973 425,112 495,964 743,946 991,928 1,487,892 2,975,784

Collatz Trajectory (58 steps to reach 1)

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

2,975,784 1,487,892 743,946 371,973 1,115,920 557,960 278,980 139,490 69,745 209,236 104,618 52,309 156,928 78,464 39,232 19,616 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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