3,430,004

2² × 29 × 29569

3,430,004 is even and not a perfect square. Its factorization is 2^2 × 29 × 29569 and its 12 divisors sum to 6,209,700.

Prime Factor Structure

Factorization String 2^2 × 29 × 29569

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,209,700

Proper Divisor Sum 2,779,696

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #3429989 ← → #3430027

Radix Representation

Decimal	3430004
Binary	1101000101011001110100 (22 bits)
Octal	0o15053164
Hexadecimal	0x345674

Divisor Catalog (12)

1 2 4 29 58 116 29,569 59,138 118,276 857,501 1,715,002 3,430,004

Collatz Trajectory (76 steps to reach 1)

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

3,430,004 1,715,002 857,501 2,572,504 1,286,252 643,126 321,563 964,690 482,345 1,447,036 723,518 361,759 1,085,278 542,639 1,627,918 813,959 2,441,878 1,220,939 3,662,818 1,831,409 5,494,228 2,747,114 1,373,557 4,120,672 2,060,336 1,030,168 515,084 257,542 128,771 386,314 193,157 579,472 289,736 144,868 72,434 36,217 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008 14,504 7,252 3,626

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