2,159,743

83 × 26021

Starting at 2,159,743, the Collatz iteration reaches 1 after 197 steps. The first transition is 6479230; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 83 × 26021

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,185,848

Proper Divisor Sum 26,105

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2159719 ← → #2159767

Radix Representation

Decimal	2159743
Binary	1000001111010001111111 (22 bits)
Octal	0o10172177
Hexadecimal	0x20F47F

Divisor Catalog (4)

1 83 26,021 2,159,743

Collatz Trajectory (197 steps to reach 1)

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

2,159,743 6,479,230 3,239,615 9,718,846 4,859,423 14,578,270 7,289,135 21,867,406 10,933,703 32,801,110 16,400,555 49,201,666 24,600,833 73,802,500 36,901,250 18,450,625 55,351,876 27,675,938 13,837,969 41,513,908 20,756,954 10,378,477 31,135,432 15,567,716 7,783,858 3,891,929 11,675,788 5,837,894 2,918,947 8,756,842 4,378,421 13,135,264 6,567,632 3,283,816 1,641,908 820,954 410,477 1,231,432 615,716 307,858 153,929 461,788 230,894 115,447 346,342 173,171 519,514 259,757 779,272 389,636 194,818 97,409 292,228 146,114 73,057 219,172 109,586 54,793 164,380 82,190

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