7,508,268

2² × 3³ × 19 × 3659

Starting at 7,508,268, the Collatz iteration reaches 1 after 142 steps. The first transition is 3754134; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 19 × 3659

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,496,000

Proper Divisor Sum 12,987,732

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7508257 ← → #7508309

Radix Representation

Decimal	7508268
Binary	11100101001000100101100 (23 bits)
Octal	0o34510454
Hexadecimal	0x72912C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1,026 2,052 3,659 7,318 10,977 14,636 21,954 32,931 43,908 65,862 69,521 98,793 131,724 139,042 197,586 208,563 278,084 395,172 417,126 625,689 834,252 1,251,378 1,877,067 2,502,756 3,754,134 7,508,268

Collatz Trajectory (142 steps to reach 1)

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

7,508,268 3,754,134 1,877,067 5,631,202 2,815,601 8,446,804 4,223,402 2,111,701 6,335,104 3,167,552 1,583,776 791,888 395,944 197,972 98,986 49,493 148,480 74,240 37,120 18,560 9,280 4,640 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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