7,003,117

11² × 31 × 1867

Starting at 7,003,117, the Collatz iteration reaches 1 after 129 steps. The first transition is 21009352; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 11^2 × 31 × 1867

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,950,208

Proper Divisor Sum 947,091

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7003111 ← → #7003121

Radix Representation

Decimal	7003117
Binary	11010101101101111101101 (23 bits)
Octal	0o32555755
Hexadecimal	0x6ADBED

Divisor Catalog (12)

1 11 31 121 341 1,867 3,751 20,537 57,877 225,907 636,647 7,003,117

Collatz Trajectory (129 steps to reach 1)

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

7,003,117 21,009,352 10,504,676 5,252,338 2,626,169 7,878,508 3,939,254 1,969,627 5,908,882 2,954,441 8,863,324 4,431,662 2,215,831 6,647,494 3,323,747 9,971,242 4,985,621 14,956,864 7,478,432 3,739,216 1,869,608 934,804 467,402 233,701 701,104 350,552 175,276 87,638 43,819 131,458 65,729 197,188 98,594 49,297 147,892 73,946 36,973 110,920 55,460 27,730 13,865 41,596 20,798 10,399 31,198 15,599 46,798 23,399 70,198 35,099 105,298 52,649 157,948 78,974 39,487 118,462 59,231 177,694 88,847 266,542

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