2,497,131

3² × 7 × 13 × 3049

Starting at 2,497,131, the Collatz iteration reaches 1 after 174 steps. The first transition is 7491394; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 3049

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,440,800

Proper Divisor Sum 1,943,669

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2497129 ← → #2497163

Radix Representation

Decimal	2497131
Binary	1001100001101001101011 (22 bits)
Octal	0o11415153
Hexadecimal	0x261A6B

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 3,049 9,147 21,343 27,441 39,637 64,029 118,911 192,087 277,459 356,733 832,377 2,497,131

Collatz Trajectory (174 steps to reach 1)

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

2,497,131 7,491,394 3,745,697 11,237,092 5,618,546 2,809,273 8,427,820 4,213,910 2,106,955 6,320,866 3,160,433 9,481,300 4,740,650 2,370,325 7,110,976 3,555,488 1,777,744 888,872 444,436 222,218 111,109 333,328 166,664 83,332 41,666 20,833 62,500 31,250 15,625 46,876 23,438 11,719 35,158 17,579 52,738 26,369 79,108 39,554 19,777 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644

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