3,399,981

3 × 13 × 87179

Starting at 3,399,981, the Collatz iteration reaches 1 after 53 steps. The first transition is 10199944; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 87179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,882,080

Proper Divisor Sum 1,482,099

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3399973 ← → #3399997

Radix Representation

Decimal	3399981
Binary	1100111110000100101101 (22 bits)
Octal	0o14760455
Hexadecimal	0x33E12D

Divisor Catalog (8)

1 3 13 39 87,179 261,537 1,133,327 3,399,981

Collatz Trajectory (53 steps to reach 1)

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

3,399,981 10,199,944 5,099,972 2,549,986 1,274,993 3,824,980 1,912,490 956,245 2,868,736 1,434,368 717,184 358,592 179,296 89,648 44,824 22,412 11,206 5,603 16,810 8,405 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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