542,516

2² × 13 × 10433

542,516 has the prime decomposition 2^2 × 13 × 10433. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 10433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,022,532

Proper Divisor Sum 480,016

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #542497 ← → #542519

Radix Representation

Decimal	542516
Binary	10000100011100110100 (20 bits)
Octal	0o2043464
Hexadecimal	0x84734

Divisor Catalog (12)

1 2 4 13 26 52 10,433 20,866 41,732 135,629 271,258 542,516

Collatz Trajectory (63 steps to reach 1)

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

542,516 271,258 135,629 406,888 203,444 101,722 50,861 152,584 76,292 38,146 19,073 57,220 28,610 14,305 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836 22,918 11,459 34,378 17,189 51,568 25,784 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340 170 85 256 128 64 32 16

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