5,166,711

3² × 11 × 52189

Starting at 5,166,711, the Collatz iteration reaches 1 after 113 steps. The first transition is 15500134; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 52189

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,141,640

Proper Divisor Sum 2,974,929

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5166703 ← → #5166737

Radix Representation

Decimal	5166711
Binary	10011101101011001110111 (23 bits)
Octal	0o23553167
Hexadecimal	0x4ED677

Divisor Catalog (12)

1 3 9 11 33 99 52,189 156,567 469,701 574,079 1,722,237 5,166,711

Collatz Trajectory (113 steps to reach 1)

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

5,166,711 15,500,134 7,750,067 23,250,202 11,625,101 34,875,304 17,437,652 8,718,826 4,359,413 13,078,240 6,539,120 3,269,560 1,634,780 817,390 408,695 1,226,086 613,043 1,839,130 919,565 2,758,696 1,379,348 689,674 344,837 1,034,512 517,256 258,628 129,314 64,657 193,972 96,986 48,493 145,480 72,740 36,370 18,185 54,556 27,278 13,639 40,918 20,459 61,378 30,689 92,068 46,034 23,017 69,052 34,526 17,263 51,790 25,895 77,686 38,843 116,530 58,265 174,796 87,398 43,699 131,098 65,549 196,648

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