λ
Prime Ledger

2,096,742

2 × 3 × 59 × 5923
Abundant Even Composite

2,096,742 has the prime decomposition 2 × 3 × 59 × 5923. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 59 × 5923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,265,280
Proper Divisor Sum 2,168,538
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2096741 ← → #2096761

Radix Representation

Decimal 2096742
Binary 111111111111001100110 (21 bits)
Octal 0o7777146
Hexadecimal 0x1FFE66

Divisor Catalog (16)

1 2 3 6 59 118 177 354 5,923 11,846 17,769 35,538 349,457 698,914 1,048,371 2,096,742

Collatz Trajectory (73 steps to reach 1)

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

2,096,742 1,048,371 3,145,114 1,572,557 4,717,672 2,358,836 1,179,418 589,709 1,769,128 884,564 442,282 221,141 663,424 331,712 165,856 82,928 41,464 20,732 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11

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