λ
Prime Ledger

2,000,742

2 × 3 × 333457
Abundant Even Composite

2,000,742 has the prime decomposition 2 × 3 × 333457. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 333457
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,001,496
Proper Divisor Sum 2,000,754
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2000731 ← → #2000753

Radix Representation

Decimal 2000742
Binary 111101000011101100110 (21 bits)
Octal 0o7503546
Hexadecimal 0x1E8766

Divisor Catalog (8)

1 2 3 6 333,457 666,914 1,000,371 2,000,742

Collatz Trajectory (91 steps to reach 1)

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

2,000,742 1,000,371 3,001,114 1,500,557 4,501,672 2,250,836 1,125,418 562,709 1,688,128 844,064 422,032 211,016 105,508 52,754 26,377 79,132 39,566 19,783 59,350 29,675 89,026 44,513 133,540 66,770 33,385 100,156 50,078 25,039 75,118 37,559 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116

More profiles

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