9,721,170

2 × 3² × 5 × 108013

Starting at 9,721,170, the Collatz iteration reaches 1 after 194 steps. The first transition is 4860585; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 108013

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,275,276

Proper Divisor Sum 15,554,106

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9721169 ← → #9721181

Radix Representation

Decimal	9721170
Binary	100101000101010101010010 (24 bits)
Octal	0o45052522
Hexadecimal	0x945552

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 108,013 216,026 324,039 540,065 648,078 972,117 1,080,130 1,620,195 1,944,234 3,240,390 4,860,585 9,721,170

Collatz Trajectory (194 steps to reach 1)

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

9,721,170 4,860,585 14,581,756 7,290,878 3,645,439 10,936,318 5,468,159 16,404,478 8,202,239 24,606,718 12,303,359 36,910,078 18,455,039 55,365,118 27,682,559 83,047,678 41,523,839 124,571,518 62,285,759 186,857,278 93,428,639 280,285,918 140,142,959 420,428,878 210,214,439 630,643,318 315,321,659 945,964,978 472,982,489 1,418,947,468 709,473,734 354,736,867 1,064,210,602 532,105,301 1,596,315,904 798,157,952 399,078,976 199,539,488 99,769,744 49,884,872 24,942,436 12,471,218 6,235,609 18,706,828 9,353,414 4,676,707 14,030,122 7,015,061 21,045,184 10,522,592 5,261,296 2,630,648 1,315,324 657,662 328,831 986,494 493,247 1,479,742 739,871 2,219,614

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