3,000,309

3 × 13 × 19 × 4049

3,000,309 factors as 3 × 13 × 19 × 4049. Its 16 positive divisors give a proper-divisor sum of 1,535,691, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 3 × 13 × 19 × 4049

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,536,000

Proper Divisor Sum 1,535,691

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3000301 ← → #3000317

Radix Representation

Decimal	3000309
Binary	1011011100011111110101 (22 bits)
Octal	0o13343765
Hexadecimal	0x2DC7F5

Divisor Catalog (16)

1 3 13 19 39 57 247 741 4,049 12,147 52,637 76,931 157,911 230,793 1,000,103 3,000,309

Collatz Trajectory (257 steps to reach 1)

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

3,000,309 9,000,928 4,500,464 2,250,232 1,125,116 562,558 281,279 843,838 421,919 1,265,758 632,879 1,898,638 949,319 2,847,958 1,423,979 4,271,938 2,135,969 6,407,908 3,203,954 1,601,977 4,805,932 2,402,966 1,201,483 3,604,450 1,802,225 5,406,676 2,703,338 1,351,669 4,055,008 2,027,504 1,013,752 506,876 253,438 126,719 380,158 190,079 570,238 285,119 855,358 427,679 1,283,038 641,519 1,924,558 962,279 2,886,838 1,443,419 4,330,258 2,165,129 6,495,388 3,247,694 1,623,847 4,871,542 2,435,771 7,307,314 3,653,657 10,960,972 5,480,486 2,740,243 8,220,730 4,110,365

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