3,314,458

2 × 7² × 31 × 1091

Starting at 3,314,458, the Collatz iteration reaches 1 after 71 steps. The first transition is 1657229; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 31 × 1091

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,975,424

Proper Divisor Sum 2,660,966

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3314447 ← → #3314459

Radix Representation

Decimal	3314458
Binary	1100101001001100011010 (22 bits)
Octal	0o14511432
Hexadecimal	0x32931A

Divisor Catalog (24)

1 2 7 14 31 49 62 98 217 434 1,091 1,519 2,182 3,038 7,637 15,274 33,821 53,459 67,642 106,918 236,747 473,494 1,657,229 3,314,458

Collatz Trajectory (71 steps to reach 1)

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

3,314,458 1,657,229 4,971,688 2,485,844 1,242,922 621,461 1,864,384 932,192 466,096 233,048 116,524 58,262 29,131 87,394 43,697 131,092 65,546 32,773 98,320 49,160 24,580 12,290 6,145 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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