λ
Prime Ledger

5,723,732

22 × 7 × 367 × 557
Abundant Even Composite

5,723,732 has the prime decomposition 2^2 × 7 × 367 × 557. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 367 × 557
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,499,264
Proper Divisor Sum 5,775,532
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5723719 ← → #5723737

Radix Representation

Decimal 5723732
Binary 10101110101011001010100 (23 bits)
Octal 0o25653124
Hexadecimal 0x575654

Divisor Catalog (24)

1 2 4 7 14 28 367 557 734 1,114 1,468 2,228 2,569 3,899 5,138 7,798 10,276 15,596 204,419 408,838 817,676 1,430,933 2,861,866 5,723,732

Collatz Trajectory (51 steps to reach 1)

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

5,723,732 2,861,866 1,430,933 4,292,800 2,146,400 1,073,200 536,600 268,300 134,150 67,075 201,226 100,613 301,840 150,920 75,460 37,730 18,865 56,596 28,298 14,149 42,448 21,224 10,612 5,306 2,653 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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