7,512,034

2 × 397 × 9461

Starting at 7,512,034, the Collatz iteration reaches 1 after 111 steps. The first transition is 3756017; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 397 × 9461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,297,628

Proper Divisor Sum 3,785,594

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7512023 ← → #7512041

Radix Representation

Decimal	7512034
Binary	11100101001111111100010 (23 bits)
Octal	0o34517742
Hexadecimal	0x729FE2

Divisor Catalog (8)

1 2 397 794 9,461 18,922 3,756,017 7,512,034

Collatz Trajectory (111 steps to reach 1)

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

7,512,034 3,756,017 11,268,052 5,634,026 2,817,013 8,451,040 4,225,520 2,112,760 1,056,380 528,190 264,095 792,286 396,143 1,188,430 594,215 1,782,646 891,323 2,673,970 1,336,985 4,010,956 2,005,478 1,002,739 3,008,218 1,504,109 4,512,328 2,256,164 1,128,082 564,041 1,692,124 846,062 423,031 1,269,094 634,547 1,903,642 951,821 2,855,464 1,427,732 713,866 356,933 1,070,800 535,400 267,700 133,850 66,925 200,776 100,388 50,194 25,097 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648

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