7,508,965

5 × 37² × 1097

Starting at 7,508,965, the Collatz iteration reaches 1 after 134 steps. The first transition is 22526896; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 37^2 × 1097

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,269,316

Proper Divisor Sum 1,760,351

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7508953 ← → #7508981

Radix Representation

Decimal	7508965
Binary	11100101001001111100101 (23 bits)
Octal	0o34511745
Hexadecimal	0x7293E5

Divisor Catalog (12)

1 5 37 185 1,097 1,369 5,485 6,845 40,589 202,945 1,501,793 7,508,965

Collatz Trajectory (134 steps to reach 1)

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

7,508,965 22,526,896 11,263,448 5,631,724 2,815,862 1,407,931 4,223,794 2,111,897 6,335,692 3,167,846 1,583,923 4,751,770 2,375,885 7,127,656 3,563,828 1,781,914 890,957 2,672,872 1,336,436 668,218 334,109 1,002,328 501,164 250,582 125,291 375,874 187,937 563,812 281,906 140,953 422,860 211,430 105,715 317,146 158,573 475,720 237,860 118,930 59,465 178,396 89,198 44,599 133,798 66,899 200,698 100,349 301,048 150,524 75,262 37,631 112,894 56,447 169,342 84,671 254,014 127,007 381,022 190,511 571,534 285,767

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