2,191,241

13 × 73 × 2309

Starting at 2,191,241, the Collatz iteration reaches 1 after 91 steps. The first transition is 6573724; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 73 × 2309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,393,160

Proper Divisor Sum 201,919

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #2191229 ← → #2191243

Radix Representation

Decimal	2191241
Binary	1000010110111110001001 (22 bits)
Octal	0o10267611
Hexadecimal	0x216F89

Divisor Catalog (8)

1 13 73 949 2,309 30,017 168,557 2,191,241

Collatz Trajectory (91 steps to reach 1)

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

2,191,241 6,573,724 3,286,862 1,643,431 4,930,294 2,465,147 7,395,442 3,697,721 11,093,164 5,546,582 2,773,291 8,319,874 4,159,937 12,479,812 6,239,906 3,119,953 9,359,860 4,679,930 2,339,965 7,019,896 3,509,948 1,754,974 877,487 2,632,462 1,316,231 3,948,694 1,974,347 5,923,042 2,961,521 8,884,564 4,442,282 2,221,141 6,663,424 3,331,712 1,665,856 832,928 416,464 208,232 104,116 52,058 26,029 78,088 39,044 19,522 9,761 29,284 14,642 7,321 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317

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