7,502,876

2² × 23 × 81553

Starting at 7,502,876, the Collatz iteration reaches 1 after 186 steps. The first transition is 3751438; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 81553

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,701,072

Proper Divisor Sum 6,198,196

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7502863 ← → #7502879

Radix Representation

Decimal	7502876
Binary	11100100111110000011100 (23 bits)
Octal	0o34476034
Hexadecimal	0x727C1C

Divisor Catalog (12)

1 2 4 23 46 92 81,553 163,106 326,212 1,875,719 3,751,438 7,502,876

Collatz Trajectory (186 steps to reach 1)

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

7,502,876 3,751,438 1,875,719 5,627,158 2,813,579 8,440,738 4,220,369 12,661,108 6,330,554 3,165,277 9,495,832 4,747,916 2,373,958 1,186,979 3,560,938 1,780,469 5,341,408 2,670,704 1,335,352 667,676 333,838 166,919 500,758 250,379 751,138 375,569 1,126,708 563,354 281,677 845,032 422,516 211,258 105,629 316,888 158,444 79,222 39,611 118,834 59,417 178,252 89,126 44,563 133,690 66,845 200,536 100,268 50,134 25,067 75,202 37,601 112,804 56,402 28,201 84,604 42,302 21,151 63,454 31,727 95,182 47,591

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