5,293,956

2² × 3 × 23 × 19181

Starting at 5,293,956, the Collatz iteration reaches 1 after 188 steps. The first transition is 2646978; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 19181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,890,304

Proper Divisor Sum 7,596,348

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5293931 ← → #5293957

Radix Representation

Decimal	5293956
Binary	10100001100011110000100 (23 bits)
Octal	0o24143604
Hexadecimal	0x50C784

Divisor Catalog (24)

1 2 3 4 6 12 23 46 69 92 138 276 19,181 38,362 57,543 76,724 115,086 230,172 441,163 882,326 1,323,489 1,764,652 2,646,978 5,293,956

Collatz Trajectory (188 steps to reach 1)

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

5,293,956 2,646,978 1,323,489 3,970,468 1,985,234 992,617 2,977,852 1,488,926 744,463 2,233,390 1,116,695 3,350,086 1,675,043 5,025,130 2,512,565 7,537,696 3,768,848 1,884,424 942,212 471,106 235,553 706,660 353,330 176,665 529,996 264,998 132,499 397,498 198,749 596,248 298,124 149,062 74,531 223,594 111,797 335,392 167,696 83,848 41,924 20,962 10,481 31,444 15,722 7,861 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935

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