7,526,340

2² × 3² × 5 × 41813

Starting at 7,526,340, the Collatz iteration reaches 1 after 155 steps. The first transition is 3763170; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 41813

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 22,830,444

Proper Divisor Sum 15,304,104

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7526339 ← → #7526347

Radix Representation

Decimal	7526340
Binary	11100101101011111000100 (23 bits)
Octal	0o34553704
Hexadecimal	0x72D7C4

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 41,813 83,626 125,439 167,252 209,065 250,878 376,317 418,130 501,756 627,195 752,634 836,260 1,254,390 1,505,268 1,881,585 2,508,780 3,763,170 7,526,340

Collatz Trajectory (155 steps to reach 1)

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

7,526,340 3,763,170 1,881,585 5,644,756 2,822,378 1,411,189 4,233,568 2,116,784 1,058,392 529,196 264,598 132,299 396,898 198,449 595,348 297,674 148,837 446,512 223,256 111,628 55,814 27,907 83,722 41,861 125,584 62,792 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177 339,532 169,766 84,883 254,650 127,325 381,976 190,988 95,494 47,747

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