5,322,196

2² × 11 × 29 × 43 × 97

Starting at 5,322,196, the Collatz iteration reaches 1 after 95 steps. The first transition is 2661098; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 29 × 43 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,866,240

Proper Divisor Sum 5,544,044

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5322193 ← → #5322197

Radix Representation

Decimal	5322196
Binary	10100010011010111010100 (23 bits)
Octal	0o24232724
Hexadecimal	0x5135D4

Divisor Catalog (48)

1 2 4 11 22 29 43 44 58 86 97 116 172 194 319 388 473 638 946 1,067 1,247 1,276 1,892 2,134 2,494 2,813 4,171 4,268 4,988 5,626 8,342 11,252 13,717 16,684 27,434 30,943 45,881 54,868 61,886 91,762 120,959 123,772 183,524 241,918 483,836 1,330,549 2,661,098 5,322,196

Collatz Trajectory (95 steps to reach 1)

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

5,322,196 2,661,098 1,330,549 3,991,648 1,995,824 997,912 498,956 249,478 124,739 374,218 187,109 561,328 280,664 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652 8,326 4,163 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157

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