7,635,145

5 × 7 × 31² × 227

Starting at 7,635,145, the Collatz iteration reaches 1 after 54 steps. The first transition is 22905436; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 31^2 × 227

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,867,392

Proper Divisor Sum 3,232,247

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7635139 ← → #7635151

Radix Representation

Decimal	7635145
Binary	11101001000000011001001 (23 bits)
Octal	0o35100311
Hexadecimal	0x7480C9

Divisor Catalog (24)

1 5 7 31 35 155 217 227 961 1,085 1,135 1,589 4,805 6,727 7,037 7,945 33,635 35,185 49,259 218,147 246,295 1,090,735 1,527,029 7,635,145

Collatz Trajectory (54 steps to reach 1)

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

7,635,145 22,905,436 11,452,718 5,726,359 17,179,078 8,589,539 25,768,618 12,884,309 38,652,928 19,326,464 9,663,232 4,831,616 2,415,808 1,207,904 603,952 301,976 150,988 75,494 37,747 113,242 56,621 169,864 84,932 42,466 21,233 63,700 31,850 15,925 47,776 23,888 11,944 5,972 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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