7,503,876

2² × 3² × 208441

Starting at 7,503,876, the Collatz iteration reaches 1 after 111 steps. The first transition is 3751938; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 208441

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 18,968,222

Proper Divisor Sum 11,464,346

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7503869 ← → #7503877

Radix Representation

Decimal	7503876
Binary	11100101000000000000100 (23 bits)
Octal	0o34500004
Hexadecimal	0x728004

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 208,441 416,882 625,323 833,764 1,250,646 1,875,969 2,501,292 3,751,938 7,503,876

Collatz Trajectory (111 steps to reach 1)

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

7,503,876 3,751,938 1,875,969 5,627,908 2,813,954 1,406,977 4,220,932 2,110,466 1,055,233 3,165,700 1,582,850 791,425 2,374,276 1,187,138 593,569 1,780,708 890,354 445,177 1,335,532 667,766 333,883 1,001,650 500,825 1,502,476 751,238 375,619 1,126,858 563,429 1,690,288 845,144 422,572 211,286 105,643 316,930 158,465 475,396 237,698 118,849 356,548 178,274 89,137 267,412 133,706 66,853 200,560 100,280 50,140 25,070 12,535 37,606 18,803 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866 7,933

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