7,107,827

7107827

Starting at 7,107,827, the Collatz iteration reaches 1 after 191 steps. The first transition is 21323482; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7107827

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 7,107,828

Proper Divisor Sum 1

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7107817 ← → #7107833

Radix Representation

Decimal	7107827
Binary	11011000111010011110011 (23 bits)
Octal	0o33072363
Hexadecimal	0x6C74F3

Divisor Catalog (2)

1 7,107,827

Collatz Trajectory (191 steps to reach 1)

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

7,107,827 21,323,482 10,661,741 31,985,224 15,992,612 7,996,306 3,998,153 11,994,460 5,997,230 2,998,615 8,995,846 4,497,923 13,493,770 6,746,885 20,240,656 10,120,328 5,060,164 2,530,082 1,265,041 3,795,124 1,897,562 948,781 2,846,344 1,423,172 711,586 355,793 1,067,380 533,690 266,845 800,536 400,268 200,134 100,067 300,202 150,101 450,304 225,152 112,576 56,288 28,144 14,072 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253

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