λ
Prime Ledger

1,745,942

2 × 11 × 61 × 1301
Deficient Even Composite

1,745,942 has the prime decomposition 2 × 11 × 61 × 1301. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 61 × 1301
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,906,064
Proper Divisor Sum 1,160,122
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1745927 ← → #1745957

Radix Representation

Decimal 1745942
Binary 110101010010000010110 (21 bits)
Octal 0o6522026
Hexadecimal 0x1AA416

Divisor Catalog (16)

1 2 11 22 61 122 671 1,301 1,342 2,602 14,311 28,622 79,361 158,722 872,971 1,745,942

Collatz Trajectory (83 steps to reach 1)

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

1,745,942 872,971 2,618,914 1,309,457 3,928,372 1,964,186 982,093 2,946,280 1,473,140 736,570 368,285 1,104,856 552,428 276,214 138,107 414,322 207,161 621,484 310,742 155,371 466,114 233,057 699,172 349,586 174,793 524,380 262,190 131,095 393,286 196,643 589,930 294,965 884,896 442,448 221,224 110,612 55,306 27,653 82,960 41,480 20,740 10,370 5,185 15,556 7,778 3,889 11,668 5,834 2,917 8,752 4,376 2,188 1,094 547 1,642 821 2,464 1,232 616 308

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