3,468,951

3² × 29 × 13291

Starting at 3,468,951, the Collatz iteration reaches 1 after 146 steps. The first transition is 10406854; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29 × 13291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,183,880

Proper Divisor Sum 1,714,929

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3468943 ← → #3468961

Radix Representation

Decimal	3468951
Binary	1101001110111010010111 (22 bits)
Octal	0o15167227
Hexadecimal	0x34EE97

Divisor Catalog (12)

1 3 9 29 87 261 13,291 39,873 119,619 385,439 1,156,317 3,468,951

Collatz Trajectory (146 steps to reach 1)

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

3,468,951 10,406,854 5,203,427 15,610,282 7,805,141 23,415,424 11,707,712 5,853,856 2,926,928 1,463,464 731,732 365,866 182,933 548,800 274,400 137,200 68,600 34,300 17,150 8,575 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103

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