5,197,284

2² × 3⁵ × 5347

Starting at 5,197,284, the Collatz iteration reaches 1 after 180 steps. The first transition is 2598642; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 5347

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,626,704

Proper Divisor Sum 8,429,420

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5197259 ← → #5197289

Radix Representation

Decimal	5197284
Binary	10011110100110111100100 (23 bits)
Octal	0o23646744
Hexadecimal	0x4F4DE4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 5,347 10,694 16,041 21,388 32,082 48,123 64,164 96,246 144,369 192,492 288,738 433,107 577,476 866,214 1,299,321 1,732,428 2,598,642 5,197,284

Collatz Trajectory (180 steps to reach 1)

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

5,197,284 2,598,642 1,299,321 3,897,964 1,948,982 974,491 2,923,474 1,461,737 4,385,212 2,192,606 1,096,303 3,288,910 1,644,455 4,933,366 2,466,683 7,400,050 3,700,025 11,100,076 5,550,038 2,775,019 8,325,058 4,162,529 12,487,588 6,243,794 3,121,897 9,365,692 4,682,846 2,341,423 7,024,270 3,512,135 10,536,406 5,268,203 15,804,610 7,902,305 23,706,916 11,853,458 5,926,729 17,780,188 8,890,094 4,445,047 13,335,142 6,667,571 20,002,714 10,001,357 30,004,072 15,002,036 7,501,018 3,750,509 11,251,528 5,625,764 2,812,882 1,406,441 4,219,324 2,109,662 1,054,831 3,164,494 1,582,247 4,746,742 2,373,371 7,120,114

← Previous Integer #5,197,283 Browse Full Index Next Integer #5,197,285 →