7,117,571

19 × 101 × 3709

Starting at 7,117,571, the Collatz iteration reaches 1 after 98 steps. The first transition is 21352714; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 101 × 3709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,568,400

Proper Divisor Sum 450,829

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7117567 ← → #7117589

Radix Representation

Decimal	7117571
Binary	11011001001101100000011 (23 bits)
Octal	0o33115403
Hexadecimal	0x6C9B03

Divisor Catalog (8)

1 19 101 1,919 3,709 70,471 374,609 7,117,571

Collatz Trajectory (98 steps to reach 1)

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

7,117,571 21,352,714 10,676,357 32,029,072 16,014,536 8,007,268 4,003,634 2,001,817 6,005,452 3,002,726 1,501,363 4,504,090 2,252,045 6,756,136 3,378,068 1,689,034 844,517 2,533,552 1,266,776 633,388 316,694 158,347 475,042 237,521 712,564 356,282 178,141 534,424 267,212 133,606 66,803 200,410 100,205 300,616 150,308 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526

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