7,508,310

2 × 3 × 5 × 353 × 709

Starting at 7,508,310, the Collatz iteration reaches 1 after 248 steps. The first transition is 3754155; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 353 × 709

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,096,480

Proper Divisor Sum 10,588,170

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #7508309 ← → #7508341

Radix Representation

Decimal	7508310
Binary	11100101001000101010110 (23 bits)
Octal	0o34510526
Hexadecimal	0x729156

Divisor Catalog (32)

1 2 3 5 6 10 15 30 353 706 709 1,059 1,418 1,765 2,118 2,127 3,530 3,545 4,254 5,295 7,090 10,590 10,635 21,270 250,277 500,554 750,831 1,251,385 1,501,662 2,502,770 3,754,155 7,508,310

Collatz Trajectory (248 steps to reach 1)

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

7,508,310 3,754,155 11,262,466 5,631,233 16,893,700 8,446,850 4,223,425 12,670,276 6,335,138 3,167,569 9,502,708 4,751,354 2,375,677 7,127,032 3,563,516 1,781,758 890,879 2,672,638 1,336,319 4,008,958 2,004,479 6,013,438 3,006,719 9,020,158 4,510,079 13,530,238 6,765,119 20,295,358 10,147,679 30,443,038 15,221,519 45,664,558 22,832,279 68,496,838 34,248,419 102,745,258 51,372,629 154,117,888 77,058,944 38,529,472 19,264,736 9,632,368 4,816,184 2,408,092 1,204,046 602,023 1,806,070 903,035 2,709,106 1,354,553 4,063,660 2,031,830 1,015,915 3,047,746 1,523,873 4,571,620 2,285,810 1,142,905 3,428,716 1,714,358

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