λ
Prime Ledger

5,600,142

2 × 32 × 421 × 739
Abundant Even Composite

5,600,142 has the prime decomposition 2 × 3^2 × 421 × 739. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 421 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,178,920
Proper Divisor Sum 6,578,778
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5600131 ← → #5600143

Radix Representation

Decimal 5600142
Binary 10101010111001110001110 (23 bits)
Octal 0o25271616
Hexadecimal 0x55738E

Divisor Catalog (24)

1 2 3 6 9 18 421 739 842 1,263 1,478 2,217 2,526 3,789 4,434 6,651 7,578 13,302 311,119 622,238 933,357 1,866,714 2,800,071 5,600,142

Collatz Trajectory (232 steps to reach 1)

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

5,600,142 2,800,071 8,400,214 4,200,107 12,600,322 6,300,161 18,900,484 9,450,242 4,725,121 14,175,364 7,087,682 3,543,841 10,631,524 5,315,762 2,657,881 7,973,644 3,986,822 1,993,411 5,980,234 2,990,117 8,970,352 4,485,176 2,242,588 1,121,294 560,647 1,681,942 840,971 2,522,914 1,261,457 3,784,372 1,892,186 946,093 2,838,280 1,419,140 709,570 354,785 1,064,356 532,178 266,089 798,268 399,134 199,567 598,702 299,351 898,054 449,027 1,347,082 673,541 2,020,624 1,010,312 505,156 252,578 126,289 378,868 189,434 94,717 284,152 142,076 71,038 35,519

More profiles

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